125104149504 has 396 divisors, whose sum is σ = 384261136896. Its totient is φ = 39190339584.

The previous prime is 125104149497. The next prime is 125104149563. The reversal of 125104149504 is 405941401521.

125104149504 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 0 + 4 + 149 + 504 = 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 35 ways as a sum of consecutive naturals, for example, 326642497 + ... + 326642879.

Almost surely, 2^125104149504 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 125104149504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192130568448).

125104149504 is an abundant number, since it is smaller than the sum of its proper divisors (259156987392).

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

125104149504 is a wasteful number, since it uses less digits than its factorization.

125104149504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 125104149504 in words is "one hundred twenty-five billion, one hundred four million, one hundred forty-nine thousand, five hundred four".