125372400 has 120 divisors (see below), whose sum is σ = 404450304. Its totient is φ = 33196800.

The previous prime is 125372389. The next prime is 125372417. The reversal of 125372400 is 4273521.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228927 + ... + 229473.

Almost surely, 2^125372400 is an apocalyptic number.

125372400 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 125372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202225152).

125372400 is an abundant number, since it is smaller than the sum of its proper divisors (279077904).

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

125372400 is a wasteful number, since it uses less digits than its factorization.

125372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 125372400 is about 11196.9817361644. The cubic root of 125372400 is about 500.4960410571.

The spelling of 125372400 in words is "one hundred twenty-five million, three hundred seventy-two thousand, four hundred".