135200
Number 135200: Properties, Factors, and Mathematical Facts
Short answer
The number 135200 is an even composite number with 54 positive divisors. Its prime factorization is 2⁵ × 5² × 13². It is also an abundant number, which gives it several notable mathematical relationships.
Is 135200 prime?
ClassificationCompositeParityEvenDivisor count54AbundanceAbundant
What is the prime factorization of 135200?
Prime factorization
2 to the power of 5 times 5 squared times 13 squared
What are the divisors of 135200?
Divisor count
54
Divisor sum
357,399
Proper divisor sum
222,199
- 1
- 2
- 4
- 5
- 8
- 10
- 13
- 16
- 20
- 25
- 26
- 32
- 40
- 50
- 52
- 65
- 80
- 100
- 104
- 130
- 160
- 169
- 200
- 208
How is 135200 classified?
How is 135200 represented in other numeral systems?
Decimal
135200
Binary
100001000000100000
Octal
410040
Hexadecimal
21020
Roman
No conventional Roman numeral
In words
one hundred thirty five thousand two hundred
Roots and powers
Square root
367.695526 Approximate
Cube root
51.324599 Approximate
Nearest lower square
134689
Nearest higher square
135424
Nearest lower cube
132651
Nearest higher cube
140608
What are the digit properties of 135200?
Which numbers are related to 135200?
Why these results are true
- 135200 is composite because it has positive divisors other than 1 and itself.
- 135200 is abundant because the sum of its proper divisors (222199) is greater than 135200.
Compare this number
FAQ for 135200
- Is 135200 prime?
- No
- What is the prime factorization of 135200?
- 2⁵ × 5² × 13²
- Is 135200 a perfect square?
- No
- What is 135200 in binary?
- 100001000000100000