138720

138,720 is an even composite number composed of four prime numbers multiplied together.

What does the number 138720 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.

138720 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.

Prime factorization of 138720:

2⁵ × 3 × 5 × 17²

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 17)

See below for interesting mathematical facts about the number 138720 from the Numbermatics database.

Names of 138720

Cardinal: 138720 can be written as One hundred thirty-eight thousand, seven hundred twenty.

Scientific notation

Scientific notation: 1.3872 × 10⁵

Factors of 138720

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 9
Sum of prime factors: 27

Divisors of 138720

Number of divisors d(n): 72
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 480 510 544 578 680 816 867 1020 1156 1360 1445 1632 1734 2040 2312 2720 2890 3468 4080 4335 4624 5780 6936 8160 8670 9248 11560 13872 17340 23120 27744 34680 46240 69360 138720
Sum of all divisors σ(n): 464184
Sum of proper divisors (its aliquot sum) s(n): 325464
138720 is an abundant number, because the sum of its proper divisors (325464) is greater than itself. Its abundance is 186744

Bases of 138720

Binary: 100001110111100000₂
Hexadecimal: 0x21DE0
Base-36: 2Z1C

Squares and roots of 138720

138720 squared (138720²) is 19243238400
138720 cubed (138720³) is 2669422030848000
The square root of 138720 is 372.4513391035
The cube root of 138720 is 51.7662088367

Scales and comparisons

How big is 138720?

138,720 seconds is equal to 1 day, 14 hours, 32 minutes.
To count from 1 to 138,720 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 138720 cubic inches would be around 4.3 feet tall.

Recreational maths with 138720

138720 backwards is 027831
The number of decimal digits it has is: 6
The sum of 138720's digits is 21
More coming soon!

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The information we have on file for 138720 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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