125371929600 has 660 divisors, whose sum is σ = 469543218144. Its totient is φ = 33051525120.

The previous prime is 125371929569. The next prime is 125371929611. The reversal of 125371929600 is 6929173521.

It is a happy number.

125371929600 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 7 + 19 + 29 + 600 = 666.

125371929600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×125371929600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 213580507 + ... + 213581093.

Almost surely, 2^125371929600 is an apocalyptic number.

125371929600 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 125371929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234771609072).

125371929600 is an abundant number, since it is smaller than the sum of its proper divisors (344171288544).

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

125371929600 is a wasteful number, since it uses less digits than its factorization.

125371929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 125371929600 in words is "one hundred twenty-five billion, three hundred seventy-one million, nine hundred twenty-nine thousand, six hundred".