125010400 has 72 divisors (see below), whose sum is σ = 306777240. Its totient is φ = 49743360.

The previous prime is 125010397. The next prime is 125010419. The reversal of 125010400 is 4010521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245346 + ... + 245854.

It is an arithmetic number, because the mean of its divisors is an integer number (4260795).

Almost surely, 2^125010400 is an apocalyptic number.

125010400 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 125010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153388620).

125010400 is an abundant number, since it is smaller than the sum of its proper divisors (181766840).

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

125010400 is a wasteful number, since it uses less digits than its factorization.

125010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 125010400 is about 11180.8049799645. The cubic root of 125010400 is about 500.0138662821.

Adding to 125010400 its reverse (4010521), we get a palindrome (129020921).

The spelling of 125010400 in words is "one hundred twenty-five million, ten thousand, four hundred".