125767152 has 60 divisors (see below), whose sum is σ = 402258480. Its totient is φ = 35933184.

The previous prime is 125767133. The next prime is 125767157. The reversal of 125767152 is 251767521.

125767152 is a `hidden beast` number, since 12 + 576 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×125767152² = 31634753044382208, 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 (125767157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61377 + ... + 63392.

It is an arithmetic number, because the mean of its divisors is an integer number (6704308).

Almost surely, 2^125767152 is an apocalyptic number.

125767152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125767152 is an abundant number, since it is smaller than the sum of its proper divisors (276491328).

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

125767152 is a wasteful number, since it uses less digits than its factorization.

125767152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124790 (or 124781 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 125767152 is about 11214.5954898070. The cubic root of 125767152 is about 501.0207839155.

The spelling of 125767152 in words is "one hundred twenty-five million, seven hundred sixty-seven thousand, one hundred fifty-two".