125288 has 8 divisors (see below), whose sum is σ = 234930. Its totient is φ = 62640.

The previous prime is 125287. The next prime is 125299. The reversal of 125288 is 882521.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 56644 = 262^2 + 238^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125288.

It is not an unprimeable number, because it can be changed into a prime (125287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7823 + ... + 7838.

2¹²⁵²⁸⁸ is an apocalyptic number.

It is an amenable number.

125288 is a deficient number, since it is larger than the sum of its proper divisors (109642).

125288 is a wasteful number, since it uses less digits than its factorization.

125288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15667 (or 15663 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 125288 is about 353.9604497680. The cubic root of 125288 is about 50.0383705465.

The spelling of 125288 in words is "one hundred twenty-five thousand, two hundred eighty-eight".