125613664 has 72 divisors (see below), whose sum is σ = 277634952. Its totient is φ = 55480320.

The previous prime is 125613661. The next prime is 125613679. The reversal of 125613664 is 466316521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125613661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 650752 + ... + 650944.

It is an arithmetic number, because the mean of its divisors is an integer number (3856041).

Almost surely, 2^125613664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138817476).

125613664 is an abundant number, since it is smaller than the sum of its proper divisors (152021288).

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

125613664 is a wasteful number, since it uses less digits than its factorization.

125613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 249 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 125613664 is about 11207.7501756597. The cubic root of 125613664 is about 500.8168833431.

The spelling of 125613664 in words is "one hundred twenty-five million, six hundred thirteen thousand, six hundred sixty-four".