125250400 has 144 divisors (see below), whose sum is σ = 342353088. Its totient is φ = 44352000.

The previous prime is 125250397. The next prime is 125250409. The reversal of 125250400 is 4052521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125250409) 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, 378235 + ... + 378565.

It is an arithmetic number, because the mean of its divisors is an integer number (2377452).

Almost surely, 2^125250400 is an apocalyptic number.

125250400 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 125250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171176544).

125250400 is an abundant number, since it is smaller than the sum of its proper divisors (217102688).

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

125250400 is a wasteful number, since it uses less digits than its factorization.

125250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 392 counting only the distinct ones).

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

The square root of 125250400 is about 11191.5325134675. The cubic root of 125250400 is about 500.3336439805. Note that the first 3 decimals are identical.

The spelling of 125250400 in words is "one hundred twenty-five million, two hundred fifty thousand, four hundred".