125131264 has 60 divisors (see below), whose sum is σ = 264259314. Its totient is φ = 59185152.

The previous prime is 125131213. The next prime is 125131289. The reversal of 125131264 is 462131521.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 57760000 = 8208^2 + 7600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184494 + ... + 185170.

Almost surely, 2^125131264 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 125131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132129657).

125131264 is an abundant number, since it is smaller than the sum of its proper divisors (139128050).

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

125131264 is an frugal number, since it uses more digits than its factorization.

125131264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 698 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 125131264 is about 11186.2086517283. The cubic root of 125131264 is about 500.1749574393.

Adding to 125131264 its reverse (462131521), we get a palindrome (587262785).

The spelling of 125131264 in words is "one hundred twenty-five million, one hundred thirty-one thousand, two hundred sixty-four".