125345664 has 64 divisors (see below), whose sum is σ = 369954000. Its totient is φ = 41780736.

The previous prime is 125345659. The next prime is 125345681. The reversal of 125345664 is 466543521.

125345664 is a `hidden beast` number, since 12 + 534 + 56 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 14679 + ... + 21590.

Almost surely, 2^125345664 is an apocalyptic number.

It is an amenable number.

125345664 is an abundant number, since it is smaller than the sum of its proper divisors (244608336).

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

125345664 is an equidigital number, since it uses as much as digits as its factorization.

125345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36292 (or 36274 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 125345664 is about 11195.7877793392. The cubic root of 125345664 is about 500.4604611542.

The spelling of 125345664 in words is "one hundred twenty-five million, three hundred forty-five thousand, six hundred sixty-four".