125460634345164 has 144 divisors (see below), whose sum is σ = 326397665341440. Its totient is φ = 41675326083360.

The previous prime is 125460634345129. The next prime is 125460634345177. The reversal of 125460634345164 is 461543436064521.

125460634345164 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 60 + 6 + 34 + 34 + 516 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 125460634345164.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59431848469 + ... + 59431850579.

It is an arithmetic number, because the mean of its divisors is an integer number (2266650453760).

Almost surely, 2^{125460634345164} is an apocalyptic number.

It is an amenable number.

125460634345164 is an abundant number, since it is smaller than the sum of its proper divisors (200937030996276).

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

125460634345164 is a wasteful number, since it uses less digits than its factorization.

125460634345164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 125460634345164 in words is "one hundred twenty-five trillion, four hundred sixty billion, six hundred thirty-four million, three hundred forty-five thousand, one hundred sixty-four".