125956080 has 80 divisors (see below), whose sum is σ = 433856160. Its totient is φ = 33587712.

The previous prime is 125956079. The next prime is 125956097. The reversal of 125956080 is 80659521.

It is a happy number.

125956080 is a `hidden beast` number, since 1 + 2 + 595 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26997 + ... + 31316.

It is an arithmetic number, because the mean of its divisors is an integer number (5423202).

Almost surely, 2^125956080 is an apocalyptic number.

125956080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125956080 is an abundant number, since it is smaller than the sum of its proper divisors (307900080).

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

125956080 is a wasteful number, since it uses less digits than its factorization.

125956080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58335 (or 58323 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 125956080 is about 11223.0156375192. The cubic root of 125956080 is about 501.2715369796.

The spelling of 125956080 in words is "one hundred twenty-five million, nine hundred fifty-six thousand, eighty".