125880 has 32 divisors (see below), whose sum is σ = 378000. Its totient is φ = 33536.

The previous prime is 125863. The next prime is 125887. The reversal of 125880 is 88521.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125880.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 125880.

It is not an unprimeable number, because it can be changed into a prime (125887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 644.

2¹²⁵⁸⁸⁰ is an apocalyptic number.

125880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125880 is an abundant number, since it is smaller than the sum of its proper divisors (252120).

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

125880 is a wasteful number, since it uses less digits than its factorization.

125880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1059 counting only the distinct ones).

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

The square root of 125880 is about 354.7957158704. The cubic root of 125880 is about 50.1170590630.

The spelling of 125880 in words is "one hundred twenty-five thousand, eight hundred eighty".