125052400 has 120 divisors (see below), whose sum is σ = 332259984. Its totient is φ = 44851200.

The previous prime is 125052397. The next prime is 125052401. The reversal of 125052400 is 4250521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125052401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426654 + ... + 426946.

Almost surely, 2^125052400 is an apocalyptic number.

125052400 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 125052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166129992).

125052400 is an abundant number, since it is smaller than the sum of its proper divisors (207207584).

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

125052400 is a wasteful number, since it uses less digits than its factorization.

125052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 125052400 is about 11182.6830412026. The cubic root of 125052400 is about 500.0698569062.

The spelling of 125052400 in words is "one hundred twenty-five million, fifty-two thousand, four hundred".