135648

135,648 is an even composite number composed of three prime numbers multiplied together.

What does the number 135648 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

135648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 135648:

2⁵ × 3³ × 157

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 157)

See below for interesting mathematical facts about the number 135648 from the Numbermatics database.

Names of 135648

Cardinal: 135648 can be written as One hundred thirty-five thousand, six hundred forty-eight.

Scientific notation

Scientific notation: 1.35648 × 10⁵

Factors of 135648

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 162

Divisors of 135648

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 157 216 288 314 432 471 628 864 942 1256 1413 1884 2512 2826 3768 4239 5024 5652 7536 8478 11304 15072 16956 22608 33912 45216 67824 135648
Sum of all divisors σ(n): 398160
Sum of proper divisors (its aliquot sum) s(n): 262512
135648 is an abundant number, because the sum of its proper divisors (262512) is greater than itself. Its abundance is 126864

Bases of 135648

Binary: 100001000111100000₂
Hexadecimal: 0x211E0
Base-36: 2WO0

Squares and roots of 135648

135648 squared (135648²) is 18400379904
135648 cubed (135648³) is 2495974733217792
The square root of 135648 is 368.3042220775
The cube root of 135648 is 51.3812262687

Scales and comparisons

How big is 135648?

135,648 seconds is equal to 1 day, 13 hours, 40 minutes, 48 seconds.
To count from 1 to 135,648 would take you about thirteen 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 135648 cubic inches would be around 4.3 feet tall.

Recreational maths with 135648

135648 backwards is 846531
135648 is a Harshad number.
The number of decimal digits it has is: 6
The sum of 135648's digits is 27
More coming soon!

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The information we have on file for 135648 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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