125397613939104 has 648 divisors, whose sum is σ = 411961747536612. Its totient is φ = 36157440983040.

The previous prime is 125397613939069. The next prime is 125397613939123. The reversal of 125397613939104 is 401939316793521.

125397613939104 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 9 + 7 + 613 + 9 + 3 + 9 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 13607689104 + 125384006250000 = 116652^2 + 11197500^2 .

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 107 ways as a sum of consecutive naturals, for example, 3277407334 + ... + 3277445594.

Almost surely, 2^{125397613939104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125397613939104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205980873768306).

125397613939104 is an abundant number, since it is smaller than the sum of its proper divisors (286564133597508).

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

125397613939104 is a wasteful number, since it uses less digits than its factorization.

125397613939104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38570 (or 38529 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 125397613939104 in words is "one hundred twenty-five trillion, three hundred ninety-seven billion, six hundred thirteen million, nine hundred thirty-nine thousand, one hundred four".