125857152 has 160 divisors (see below), whose sum is σ = 382602000. Its totient is φ = 41057280.

The previous prime is 125857111. The next prime is 125857153. The reversal of 125857152 is 251758521.

125857152 is a `hidden beast` number, since 1 + 2 + 585 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×125857152² = 31680045419102208, which contains 22 as substring.

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 (125857153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632349 + ... + 632547.

Almost surely, 2^125857152 is an apocalyptic number.

125857152 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 125857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191301000).

125857152 is an abundant number, since it is smaller than the sum of its proper divisors (256744848).

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

125857152 is an equidigital number, since it uses as much as digits as its factorization.

125857152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its digits is 28000, while the sum is 36.

The square root of 125857152 is about 11218.6074002079. The cubic root of 125857152 is about 501.1402669392.

The spelling of 125857152 in words is "one hundred twenty-five million, eight hundred fifty-seven thousand, one hundred fifty-two".