125114732400 has 120 divisors (see below), whose sum is σ = 458039108224. Its totient is φ = 28597651200.

The previous prime is 125114732389. The next prime is 125114732417. The reversal of 125114732400 is 4237411521.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7438906 + ... + 7455705.

Almost surely, 2^125114732400 is an apocalyptic number.

125114732400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125114732400 is an abundant number, since it is smaller than the sum of its proper divisors (332924375824).

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

125114732400 is a wasteful number, since it uses less digits than its factorization.

125114732400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14894639 (or 14894628 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 125114732400 in words is "one hundred twenty-five billion, one hundred fourteen million, seven hundred thirty-two thousand, four hundred".