125764400 has 90 divisors (see below), whose sum is σ = 311536980. Its totient is φ = 48775680.

The previous prime is 125764399. The next prime is 125764421. The reversal of 125764400 is 4467521.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1722764 + ... + 1722836.

It is an arithmetic number, because the mean of its divisors is an integer number (3461522).

Almost surely, 2^125764400 is an apocalyptic number.

125764400 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 125764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155768490).

125764400 is an abundant number, since it is smaller than the sum of its proper divisors (185772580).

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

125764400 is an equidigital number, since it uses as much as digits as its factorization.

125764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 125764400 is about 11214.4727918882. The cubic root of 125764400 is about 501.0171294922.

The spelling of 125764400 in words is "one hundred twenty-five million, seven hundred sixty-four thousand, four hundred".