125088 has 24 divisors (see below), whose sum is σ = 328608. Its totient is φ = 41664.

The previous prime is 125063. The next prime is 125093. The reversal of 125088 is 880521.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125088.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 556 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (13692).

125088 is a Friedman number, since it can be written as 88+50^(2+1), using all its digits and the basic arithmetic operations.

2¹²⁵⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

125088 is an abundant number, since it is smaller than the sum of its proper divisors (203520).

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

125088 is a wasteful number, since it uses less digits than its factorization.

125088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 125088 is about 353.6778194911. The cubic root of 125088 is about 50.0117305810.

The spelling of 125088 in words is "one hundred twenty-five thousand, eighty-eight".