125200838523904 has 176 divisors, whose sum is σ = 301981445178336. Its totient is φ = 51112039219200.

The previous prime is 125200838523899. The next prime is 125200838523961. The reversal of 125200838523904 is 409325838002521.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6136207 + ... + 16972174.

It is an arithmetic number, because the mean of its divisors is an integer number (1715803665786).

Almost surely, 2^{125200838523904} is an apocalyptic number.

It is an amenable number.

125200838523904 is an abundant number, since it is smaller than the sum of its proper divisors (176780606654432).

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

125200838523904 is a wasteful number, since it uses less digits than its factorization.

125200838523904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23108462 (or 23108444 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 125200838523904 in words is "one hundred twenty-five trillion, two hundred billion, eight hundred thirty-eight million, five hundred twenty-three thousand, nine hundred four".