135136800
135,136,800 is an even composite number composed of four prime numbers multiplied together.
135136800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 135136800:
25 × 32 × 52 × 1372
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 137 × 137)See below for interesting mathematical facts about the number 135136800 from the Numbermatics database.
Names of 135136800
- Cardinal: 135136800 can be written as One hundred thirty-five million, one hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.351368 × 108
Factors of 135136800
Divisors of 135136800
- Number of divisors d(n): 162
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 137 144 150 160 180 200 225 240 274 288 300 360 400 411 450 480 548 600 685 720 800 822 900 1096 1200 1233 1370 1440 1644 1800 2055 2192 2400 2466 2740 3288 3425 3600 4110 4384 4932 5480 6165 6576 6850 7200 8220 9864 10275 10960 12330 13152 13700 16440 18769 19728 20550 21920 24660 27400 30825 32880 37538 39456 41100 49320 54800 56307 61650 65760 75076 82200 93845 98640 109600 112614 123300 150152 164400 168921 187690 197280 225228 246600 281535 300304 328800 337842 375380 450456 469225 493200 563070 600608 675684 750760 844605 900912 938450 986400 1126140 1351368 1407675 1501520 1689210 1801824 1876900 2252280 2702736 2815350 3003040 3378420 3753800 4223025 4504560 5405472 5630700 6756840 7507600 8446050 9009120 11261400 13513680 15015200 16892100 22522800 27027360 33784200 45045600 67568400 135136800
- Sum of all divisors σ(n): 480029823
- Sum of proper divisors (its aliquot sum) s(n): 344893023
- 135136800 is an abundant number, because the sum of its proper divisors (344893023) is greater than itself. Its abundance is 209756223
Bases of 135136800
- Binary: 10000000111000000110001000002
- Hexadecimal: 0x80E0620
- Base-36: 28GG80
Squares and roots of 135136800
- 135136800 squared (1351368002) is 18261954714240000
- 135136800 cubed (1351368003) is 2467862121827308032000000
-
The
square root of 135136800 is 11624.8354827069 -
The
cube root of 135136800 is 513.1660030693
Scales and comparisons
How big is 135136800?- 135,136,800 seconds is equal to 4 years, 15 weeks, 3 days, 2 hours.
-
To count from 1 to 135,136,800 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 135136800 cubic inches would be around 42.8 feet tall.
Recreational maths with 135136800
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