125264 has 10 divisors (see below), whose sum is σ = 242730. Its totient is φ = 62624.

The previous prime is 125261. The next prime is 125269. The reversal of 125264 is 462521.

125264 = T₇₂ + T₇₃ + ... + T₁₀₃.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 40000 = 292^2 + 200^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3899 + ... + 3930.

It is an arithmetic number, because the mean of its divisors is an integer number (24273).

2¹²⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

125264 is a deficient number, since it is larger than the sum of its proper divisors (117466).

125264 is an equidigital number, since it uses as much as digits as its factorization.

125264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7837 (or 7831 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 125264 is about 353.9265460516. The cubic root of 125264 is about 50.0351752482.

Adding to 125264 its reverse (462521), we get a palindrome (587785).

The spelling of 125264 in words is "one hundred twenty-five thousand, two hundred sixty-four".