135200

135,200 is an even composite number composed of three prime numbers multiplied together.

What does the number 135200 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 54 divisors.

135200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-four divisors.

Prime factorization of 135200:

2⁵ × 5² × 13²

(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13)

See below for interesting mathematical facts about the number 135200 from the Numbermatics database.

Names of 135200

Cardinal: 135200 can be written as One hundred thirty-five thousand, two hundred.

Scientific notation

Scientific notation: 1.352 × 10⁵

Factors of 135200

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 20

Divisors of 135200

Number of divisors d(n): 54
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 169 200 208 260 325 338 400 416 520 650 676 800 845 1040 1300 1352 1690 2080 2600 2704 3380 4225 5200 5408 6760 8450 10400 13520 16900 27040 33800 67600 135200
Sum of all divisors σ(n): 357399
Sum of proper divisors (its aliquot sum) s(n): 222199
135200 is an abundant number, because the sum of its proper divisors (222199) is greater than itself. Its abundance is 86999

Bases of 135200

Binary: 100001000000100000₂
Hexadecimal: 0x21020
Base-36: 2WBK

Squares and roots of 135200

135200 squared (135200²) is 18279040000
135200 cubed (135200³) is 2471326208000000
The square root of 135200 is 367.6955262171
The cube root of 135200 is 51.3245988775

Scales and comparisons

How big is 135200?

135,200 seconds is equal to 1 day, 13 hours, 33 minutes, 20 seconds.
To count from 1 to 135,200 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 135200 cubic inches would be around 4.3 feet tall.

Recreational maths with 135200

135200 backwards is 002531
The number of decimal digits it has is: 6
The sum of 135200's digits is 11
More coming soon!

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The information we have on file for 135200 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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