137648

137,648 is an even composite number composed of three prime numbers multiplied together.

What does the number 137648 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 20 divisors.

137648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty divisors.

Prime factorization of 137648:

2⁴ × 7 × 1229

(2 × 2 × 2 × 2 × 7 × 1229)

See below for interesting mathematical facts about the number 137648 from the Numbermatics database.

Names of 137648

Cardinal: 137648 can be written as One hundred thirty-seven thousand, six hundred forty-eight.

Scientific notation

Scientific notation: 1.37648 × 10⁵

Factors of 137648

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 1238

Divisors of 137648

Number of divisors d(n): 20
Complete list of divisors:
1 2 4 7 8 14 16 28 56 112 1229 2458 4916 8603 9832 17206 19664 34412 68824 137648
Sum of all divisors σ(n): 305040
Sum of proper divisors (its aliquot sum) s(n): 167392
137648 is an abundant number, because the sum of its proper divisors (167392) is greater than itself. Its abundance is 29744

Bases of 137648

Binary: 100001100110110000₂
Hexadecimal: 0x219B0
Base-36: 2Y7K

Squares and roots of 137648

137648 squared (137648²) is 18946971904
137648 cubed (137648³) is 2608012788641792
The square root of 137648 is 371.0094338423
The cube root of 137648 is 51.6325176123

Scales and comparisons

How big is 137648?

137,648 seconds is equal to 1 day, 14 hours, 14 minutes, 8 seconds.
To count from 1 to 137,648 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 137648 cubic inches would be around 4.3 feet tall.

Recreational maths with 137648

137648 backwards is 846731
The number of decimal digits it has is: 6
The sum of 137648's digits is 29
More coming soon!

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The information we have on file for 137648 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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