125158353632256 has 1056 divisors, whose sum is σ = 406233340128000. Its totient is φ = 34116687101952.

The previous prime is 125158353632251. The next prime is 125158353632269. The reversal of 125158353632256 is 652236353851521.

It is a super-2 number, since 2×125158353632256² (a number of 29 digits) contains 22 as substring.

Its product of digits (38880000) is a multiple of the sum of its prime divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 125158353632196 and 125158353632205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125158353632251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189921628855 + ... + 189921629513.

It is an arithmetic number, because the mean of its divisors is an integer number (384690663000).

Almost surely, 2^{125158353632256} is an apocalyptic number.

125158353632256 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 125158353632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203116670064000).

125158353632256 is an abundant number, since it is smaller than the sum of its proper divisors (281074986495744).

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

125158353632256 is a wasteful number, since it uses less digits than its factorization.

125158353632256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1152 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 57.

The spelling of 125158353632256 in words is "one hundred twenty-five trillion, one hundred fifty-eight billion, three hundred fifty-three million, six hundred thirty-two thousand, two hundred fifty-six".