137268

137,268 is an even composite number composed of four prime numbers multiplied together.

What does the number 137268 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

137268 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 137268:

2² × 3³ × 31 × 41

(2 × 2 × 3 × 3 × 3 × 31 × 41)

See below for interesting mathematical facts about the number 137268 from the Numbermatics database.

Names of 137268

Cardinal: 137268 can be written as One hundred thirty-seven thousand, two hundred sixty-eight.

Scientific notation

Scientific notation: 1.37268 × 10⁵

Factors of 137268

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 77

Divisors of 137268

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 9 12 18 27 31 36 41 54 62 82 93 108 123 124 164 186 246 279 369 372 492 558 738 837 1107 1116 1271 1476 1674 2214 2542 3348 3813 4428 5084 7626 11439 15252 22878 34317 45756 68634 137268
Sum of all divisors σ(n): 376320
Sum of proper divisors (its aliquot sum) s(n): 239052
137268 is an abundant number, because the sum of its proper divisors (239052) is greater than itself. Its abundance is 101784

Bases of 137268

Binary: 100001100000110100₂
Hexadecimal: 0x21834
Base-36: 2XX0

Squares and roots of 137268

137268 squared (137268²) is 18842503824
137268 cubed (137268³) is 2586472814912832
The square root of 137268 is 370.4969635503
The cube root of 137268 is 51.5849604629

Scales and comparisons

How big is 137268?

137,268 seconds is equal to 1 day, 14 hours, 7 minutes, 48 seconds.
To count from 1 to 137,268 would take you about fourteen hours.

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 137268 cubic inches would be around 4.3 feet tall.

Recreational maths with 137268

137268 backwards is 862731
137268 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 137268's digits is 27
More coming soon!

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The information we have on file for 137268 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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