125304496128 has 560 divisors, whose sum is σ = 436749809760. Its totient is φ = 35056779264.

The previous prime is 125304496067. The next prime is 125304496147. The reversal of 125304496128 is 821694403521.

125304496128 is a `hidden beast` number, since 1 + 2 + 5 + 30 + 4 + 496 + 128 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246177538 + ... + 246178046.

Almost surely, 2^125304496128 is an apocalyptic number.

125304496128 is a gapful number since it is divisible by the number (18) 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 125304496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218374904880).

125304496128 is an abundant number, since it is smaller than the sum of its proper divisors (311445313632).

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

125304496128 is an frugal number, since it uses more digits than its factorization.

125304496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 125304496128 its reverse (821694403521), we get a palindrome (946998899649).

The spelling of 125304496128 in words is "one hundred twenty-five billion, three hundred four million, four hundred ninety-six thousand, one hundred twenty-eight".