125137670400 has 648 divisors, whose sum is σ = 466522265664. Its totient is φ = 31972147200.

The previous prime is 125137670323. The next prime is 125137670447. The reversal of 125137670400 is 4076731521.

It is a happy number.

125137670400 is a `hidden beast` number, since 1 + 2 + 513 + 76 + 70 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 151314787 + ... + 151315613.

It is an arithmetic number, because the mean of its divisors is an integer number (719941768).

Almost surely, 2^125137670400 is an apocalyptic number.

125137670400 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 125137670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233261132832).

125137670400 is an abundant number, since it is smaller than the sum of its proper divisors (341384595264).

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

125137670400 is a wasteful number, since it uses less digits than its factorization.

125137670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 125137670400 in words is "one hundred twenty-five billion, one hundred thirty-seven million, six hundred seventy thousand, four hundred".