| Base | Representation |
|---|---|
| bin | 10000000110011… |
| … | …00101000000000 |
| 3 | 100102010112211100 |
| 4 | 20003030220000 |
| 5 | 234033241442 |
| 6 | 21222414400 |
| 7 | 3226645620 |
| oct | 1003145000 |
| 9 | 312115740 |
| 10 | 135055872 |
| 11 | 6a265526 |
| 12 | 39291400 |
| 13 | 21c98b23 |
| 14 | 13d18880 |
| 15 | bccb84c |
| hex | 80cca00 |
135055872 has 240 divisors, whose sum is σ = 459613440. Its totient is φ = 37380096.
The previous prime is 135055849. The next prime is 135055873. The reversal of 135055872 is 278550531.
135055872 is a `hidden beast` number, since 1 + 35 + 0 + 558 + 72 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135055873) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1709529 + ... + 1709607.
It is an arithmetic number, because the mean of its divisors is an integer number (1915056).
Almost surely, 2135055872 is an apocalyptic number.
135055872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 135055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).
135055872 is an abundant number, since it is smaller than the sum of its proper divisors (324557568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135055872 is an equidigital number, since it uses as much as digits as its factorization.
135055872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 42000, while the sum is 36.
The square root of 135055872 is about 11621.3541379652. The cubic root of 135055872 is about 513.0635444466.
The spelling of 135055872 in words is "one hundred thirty-five million, fifty-five thousand, eight hundred seventy-two".
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