125370400 has 72 divisors (see below), whose sum is σ = 310761360. Its totient is φ = 49378560.

The previous prime is 125370389. The next prime is 125370431. The reversal of 125370400 is 4073521.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52431 + ... + 54769.

It is an arithmetic number, because the mean of its divisors is an integer number (4316130).

Almost surely, 2^125370400 is an apocalyptic number.

125370400 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 125370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155380680).

125370400 is an abundant number, since it is smaller than the sum of its proper divisors (185390960).

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

125370400 is a wasteful number, since it uses less digits than its factorization.

125370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 125370400 is about 11196.8924260261. The cubic root of 125370400 is about 500.4933796596.

The spelling of 125370400 in words is "one hundred twenty-five million, three hundred seventy thousand, four hundred".