135151200
135,151,200 is an even composite number composed of four prime numbers multiplied together.
135151200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 135151200:
25 × 33 × 52 × 6257
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 6257)See below for interesting mathematical facts about the number 135151200 from the Numbermatics database.
Names of 135151200
- Cardinal: 135151200 can be written as One hundred thirty-five million, one hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.351512 × 108
Factors of 135151200
Divisors of 135151200
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 6257 7200 10800 12514 18771 21600 25028 31285 37542 50056 56313 62570 75084 93855 100112 112626 125140 150168 156425 168939 187710 200224 225252 250280 281565 300336 312850 337878 375420 450504 469275 500560 563130 600672 625700 675756 750840 844695 901008 938550 1001120 1126260 1251400 1351512 1407825 1501680 1689390 1802016 1877100 2252520 2502800 2703024 2815650 3003360 3378780 3754200 4223475 4505040 5005600 5406048 5631300 6757560 7508400 8446950 9010080 11262600 13515120 15016800 16893900 22525200 27030240 33787800 45050400 67575600 135151200
- Sum of all divisors σ(n): 488874960
- Sum of proper divisors (its aliquot sum) s(n): 353723760
- 135151200 is an abundant number, because the sum of its proper divisors (353723760) is greater than itself. Its abundance is 218572560
Bases of 135151200
- Binary: 10000000111000111110011000002
- Hexadecimal: 0x80E3E60
- Base-36: 28GRC0
Squares and roots of 135151200
- 135151200 squared (1351512002) is 18265846861440000
- 135151200 cubed (1351512003) is 2468651122339849728000000
-
The
square root of 135151200 is 11625.4548298121 -
The
cube root of 135151200 is 513.1842298537
Scales and comparisons
How big is 135151200?- 135,151,200 seconds is equal to 4 years, 15 weeks, 3 days, 6 hours.
-
To count from 1 to 135,151,200 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 135151200 cubic inches would be around 42.8 feet tall.
Recreational maths with 135151200
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