153513126256 has 120 divisors (see below), whose sum is σ = 366057798480. Its totient is φ = 62011063296.

The previous prime is 153513126167. The next prime is 153513126257. The reversal of 153513126256 is 652621315351.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153513126257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2908356 + ... + 2960668.

It is an arithmetic number, because the mean of its divisors is an integer number (3050481654).

Almost surely, 2^153513126256 is an apocalyptic number.

153513126256 is a gapful number since it is divisible by the number (16) 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 153513126256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183028899240).

153513126256 is an abundant number, since it is smaller than the sum of its proper divisors (212544672224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153513126256 is a wasteful number, since it uses less digits than its factorization.

153513126256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52551 (or 52538 counting only the distinct ones).

The product of its digits is 162000, while the sum is 40.

The spelling of 153513126256 in words is "one hundred fifty-three billion, five hundred thirteen million, one hundred twenty-six thousand, two hundred fifty-six".