137688

137,688 is an even composite number composed of three prime numbers multiplied together.

What does the number 137688 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

137688 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 137688:

2³ × 3 × 5737

(2 × 2 × 2 × 3 × 5737)

See below for interesting mathematical facts about the number 137688 from the Numbermatics database.

Names of 137688

Cardinal: 137688 can be written as One hundred thirty-seven thousand, six hundred eighty-eight.

Scientific notation

Scientific notation: 1.37688 × 10⁵

Factors of 137688

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 5742

Divisors of 137688

Number of divisors d(n): 16
Complete list of divisors:
1 2 3 4 6 8 12 24 5737 11474 17211 22948 34422 45896 68844 137688
Sum of all divisors σ(n): 344280
Sum of proper divisors (its aliquot sum) s(n): 206592
137688 is an abundant number, because the sum of its proper divisors (206592) is greater than itself. Its abundance is 68904

Bases of 137688

Binary: 100001100111011000₂
Hexadecimal: 0x219D8
Base-36: 2Y8O

Squares and roots of 137688

137688 squared (137688²) is 18957985344
137688 cubed (137688³) is 2610287086044672
The square root of 137688 is 371.0633369117
The cube root of 137688 is 51.6375185341

Scales and comparisons

How big is 137688?

137,688 seconds is equal to 1 day, 14 hours, 14 minutes, 48 seconds.
To count from 1 to 137,688 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 137688 cubic inches would be around 4.3 feet tall.

Recreational maths with 137688

137688 backwards is 886731
The number of decimal digits it has is: 6
The sum of 137688's digits is 33
More coming soon!

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The information we have on file for 137688 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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