125964400 has 60 divisors (see below), whose sum is σ = 313093800. Its totient is φ = 48643840.

The previous prime is 125964383. The next prime is 125964401. The reversal of 125964400 is 4469521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125964401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6171 + ... + 17029.

It is an arithmetic number, because the mean of its divisors is an integer number (5218230).

Almost surely, 2^125964400 is an apocalyptic number.

125964400 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 125964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156546900).

125964400 is an abundant number, since it is smaller than the sum of its proper divisors (187129400).

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

125964400 is a wasteful number, since it uses less digits than its factorization.

125964400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10895 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 125964400 is about 11223.3862982613. The cubic root of 125964400 is about 501.2825738621.

The spelling of 125964400 in words is "one hundred twenty-five million, nine hundred sixty-four thousand, four hundred".