125125264 has 40 divisors (see below), whose sum is σ = 267125760. Its totient is φ = 56304000.

The previous prime is 125125243. The next prime is 125125277. The reversal of 125125264 is 462521521.

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, 14257 + ... + 21295.

It is an arithmetic number, because the mean of its divisors is an integer number (6678144).

Almost surely, 2^125125264 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 125125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133562880).

125125264 is an abundant number, since it is smaller than the sum of its proper divisors (142000496).

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

125125264 is a wasteful number, since it uses less digits than its factorization.

125125264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7153 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 125125264 is about 11185.9404611324. The cubic root of 125125264 is about 500.1669629072.

Adding to 125125264 its reverse (462521521), we get a palindrome (587646785).

The spelling of 125125264 in words is "one hundred twenty-five million, one hundred twenty-five thousand, two hundred sixty-four".