125587264 has 112 divisors (see below), whose sum is σ = 294436800. Its totient is φ = 52531200.

The previous prime is 125587261. The next prime is 125587307. The reversal of 125587264 is 462785521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125587261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548302 + ... + 548530.

It is an arithmetic number, because the mean of its divisors is an integer number (2628900).

Almost surely, 2^125587264 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 125587264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147218400).

125587264 is an abundant number, since it is smaller than the sum of its proper divisors (168849536).

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

125587264 is a wasteful number, since it uses less digits than its factorization.

125587264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The square root of 125587264 is about 11206.5723573267. The cubic root of 125587264 is about 500.7817956208.

The spelling of 125587264 in words is "one hundred twenty-five million, five hundred eighty-seven thousand, two hundred sixty-four".