125064400 has 60 divisors (see below), whose sum is σ = 304168032. Its totient is φ = 49409920.

The previous prime is 125064397. The next prime is 125064419. The reversal of 125064400 is 4460521.

It is a super-2 number, since 2×125064400² = 31282208294720000, which contains 22 as substring.

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, 31317 + ... + 35083.

Almost surely, 2^125064400 is an apocalyptic number.

125064400 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 125064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152084016).

125064400 is an abundant number, since it is smaller than the sum of its proper divisors (179103632).

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

125064400 is a wasteful number, since it uses less digits than its factorization.

125064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 125064400 is about 11183.2195721983. The cubic root of 125064400 is about 500.0858519247.

The spelling of 125064400 in words is "one hundred twenty-five million, sixty-four thousand, four hundred".