125338328976 has 320 divisors, whose sum is σ = 392189184000. Its totient is φ = 33738743808.

The previous prime is 125338328957. The next prime is 125338328987. The reversal of 125338328976 is 679823833521.

Its product of digits (13063680) is a multiple of the sum of its prime divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73770975 + ... + 73772673.

It is an arithmetic number, because the mean of its divisors is an integer number (1225591200).

Almost surely, 2^125338328976 is an apocalyptic number.

125338328976 is a gapful number since it is divisible by the number (16) 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 125338328976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196094592000).

125338328976 is an abundant number, since it is smaller than the sum of its proper divisors (266850855024).

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

125338328976 is a wasteful number, since it uses less digits than its factorization.

125338328976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1920 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The spelling of 125338328976 in words is "one hundred twenty-five billion, three hundred thirty-eight million, three hundred twenty-eight thousand, nine hundred seventy-six".