125556480 has 360 divisors, whose sum is σ = 516412512. Its totient is φ = 28532736.

The previous prime is 125556467. The next prime is 125556521. The reversal of 125556480 is 84655521.

125556480 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 725674 + ... + 725846.

Almost surely, 2^125556480 is an apocalyptic number.

125556480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258206256).

125556480 is an abundant number, since it is smaller than the sum of its proper divisors (390856032).

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

125556480 is an equidigital number, since it uses as much as digits as its factorization.

125556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 125556480 is about 11205.1987934173. The cubic root of 125556480 is about 500.7408749996.

The spelling of 125556480 in words is "one hundred twenty-five million, five hundred fifty-six thousand, four hundred eighty".