125756352 has 84 divisors (see below), whose sum is σ = 363946440. Its totient is φ = 41513472.

The previous prime is 125756347. The next prime is 125756363. The reversal of 125756352 is 253657521.

125756352 is a `hidden beast` number, since 1 + 257 + 56 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61783 + ... + 63785.

Almost surely, 2^125756352 is an apocalyptic number.

125756352 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 125756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181973220).

125756352 is an abundant number, since it is smaller than the sum of its proper divisors (238190088).

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

125756352 is a wasteful number, since it uses less digits than its factorization.

125756352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2117 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 125756352 is about 11214.1139641079. The cubic root of 125756352 is about 501.0064421226.

The spelling of 125756352 in words is "one hundred twenty-five million, seven hundred fifty-six thousand, three hundred fifty-two".