135145920
135,145,920 is an even composite number composed of six prime numbers multiplied together.
135145920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 135145920:
26 × 3 × 5 × 72 × 132 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 13 × 17)See below for interesting mathematical facts about the number 135145920 from the Numbermatics database.
Names of 135145920
- Cardinal: 135145920 can be written as One hundred thirty-five million, one hundred forty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3514592 × 108
Factors of 135145920
Divisors of 135145920
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 26 28 30 32 34 35 39 40 42 48 49 51 52 56 60 64 65 68 70 78 80 84 85 91 96 98 102 104 105 112 119 120 130 136 140 147 156 160 168 169 170 182 192 195 196 204 208 210 221 224 238 240 245 255 260 272 273 280 294 312 320 336 338 340 357 364 390 392 408 416 420 442 448 455 476 480 490 507 510 520 544 546 560 588 595 624 637 663 672 676 680 714 728 735 780 784 816 832 833 840 845 884 910 952 960 980 1014 1020 1040 1088 1092 1105 1120 1176 1183 1190 1248 1274 1326 1344 1352 1360 1365 1428 1456 1470 1547 1560 1568 1632 1666 1680 1690 1768 1785 1820 1904 1911 1960 2028 2040 2080 2184 2210 2240 2352 2366 2380 2496 2499 2535 2548 2652 2704 2720 2730 2856 2873 2912 2940 3094 3120 3136 3185 3264 3315 3332 3360 3380 3536 3549 3570 3640 3808 3822 3920 4056 4080 4160 4165 4368 4420 4641 4704 4732 4760 4998 5070 5096 5304 5408 5440 5460 5712 5746 5824 5880 5915 6188 6240 6370 6630 6664 6720 6760 7072 7098 7140 7280 7616 7644 7735 7840 8112 8160 8281 8330 8619 8736 8840 9282 9408 9464 9520 9555 9996 10140 10192 10608 10816 10829 10920 11424 11492 11760 11830 12376 12480 12495 12740 13260 13328 13520 14144 14196 14280 14365 14560 15288 15470 15680 16224 16320 16562 16660 17238 17472 17680 17745 18564 18928 19040 19110 19992 20111 20280 20384 21216 21658 21840 22848 22984 23205 23520 23660 24752 24843 24990 25480 26520 26656 27040 28392 28560 28730 29120 30576 30940 32448 32487 33124 33320 34476 35360 35490 37128 37856 38080 38220 39984 40222 40560 40768 41405 42432 43095 43316 43680 45968 46410 47040 47320 49504 49686 49980 50960 53040 53312 54080 54145 56784 57120 57460 60333 61152 61880 64974 66248 66640 68952 70720 70980 74256 75712 76440 79968 80444 81120 82810 86190 86632 87360 91936 92820 94640 99008 99372 99960 100555 101920 106080 108290 113568 114240 114920 120666 122304 123760 124215 129948 132496 133280 137904 140777 141960 148512 152880 159936 160888 162240 162435 165620 172380 173264 183872 185640 189280 198744 199920 201110 203840 212160 216580 227136 229840 241332 247520 248430 259896 264992 266560 275808 281554 283920 297024 301665 305760 321776 324870 331240 344760 346528 371280 378560 397488 399840 402220 422331 433160 459680 482664 495040 496860 519792 529984 551616 563108 567840 603330 611520 643552 649740 662480 689520 693056 703885 742560 794976 799680 804440 844662 866320 919360 965328 993720 1039584 1126216 1135680 1206660 1287104 1299480 1324960 1379040 1407770 1485120 1589952 1608880 1689324 1732640 1930656 1987440 2079168 2111655 2252432 2413320 2598960 2649920 2758080 2815540 3217760 3378648 3465280 3861312 3974880 4223310 4504864 4826640 5197920 5631080 6435520 6757296 7949760 8446620 9009728 9653280 10395840 11262160 13514592 16893240 19306560 22524320 27029184 33786480 45048640 67572960 135145920
- Sum of all divisors σ(n): 572286384
- Sum of proper divisors (its aliquot sum) s(n): 437140464
- 135145920 is an abundant number, because the sum of its proper divisors (437140464) is greater than itself. Its abundance is 301994544
Bases of 135145920
- Binary: 10000000111000101001110000002
- Hexadecimal: 0x80E29C0
- Base-36: 28GN9C
Squares and roots of 135145920
- 135145920 squared (1351459202) is 18264419692646400
- 135145920 cubed (1351459203) is 2468361802628814962688000
-
The
square root of 135145920 is 11625.2277397049 -
The
cube root of 135145920 is 513.1775468497
Scales and comparisons
How big is 135145920?- 135,145,920 seconds is equal to 4 years, 15 weeks, 3 days, 4 hours, 32 minutes.
-
To count from 1 to 135,145,920 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 135145920 cubic inches would be around 42.8 feet tall.
Recreational maths with 135145920
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