137968

137,968 is an even composite number composed of two prime numbers multiplied together.

What does the number 137968 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

137968 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

Prime factorization of 137968:

24 × 8623

(2 × 2 × 2 × 2 × 8623)

See below for interesting mathematical facts about the number 137968 from the Numbermatics database.


Names of 137968

  • Cardinal: 137968 can be written as One hundred thirty-seven thousand, nine hundred sixty-eight.

Scientific notation

  • Scientific notation: 1.37968 × 105

Factors of 137968

  • Number of distinct prime factors ω(n): 2
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 8625

Divisors of 137968

  • Number of divisors d(n): 10
  • Complete list of divisors:
  • Sum of all divisors σ(n): 267344
  • Sum of proper divisors (its aliquot sum) s(n): 129376
  • 137968 is a deficient number, because the sum of its proper divisors (129376) is less than itself. Its deficiency is 8592

Bases of 137968

  • Binary: 1000011010111100002
  • Hexadecimal: 0x21AF0
  • Base-36: 2YGG

Squares and roots of 137968

  • 137968 squared (1379682) is 19035169024
  • 137968 cubed (1379683) is 2626244199903232
  • The square root of 137968 is 371.4404393709
  • The cube root of 137968 is 51.6724978967

Scales and comparisons

How big is 137968?
  • 137,968 seconds is equal to 1 day, 14 hours, 19 minutes, 28 seconds.
  • To count from 1 to 137,968 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 137968 cubic inches would be around 4.3 feet tall.

Recreational maths with 137968

  • 137968 backwards is 869731
  • The number of decimal digits it has is: 6
  • The sum of 137968's digits is 34
  • More coming soon!

Copy this link to share with anyone:


Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 137968 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.

APA style:
Numbermatics. (2024). Number 137968 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/137968/

Chicago style:
Numbermatics. 2024. "Number 137968 - Facts about the integer". https://numbermatics.com/n/137968/

The information we have on file for 137968 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!

Keywords: Divisors of 137968, math, Factors of 137968, curriculum, school, college, exams, university, Prime factorization of 137968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven thousand, nine hundred sixty-eight.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.