125360840160 has 96 divisors (see below), whose sum is σ = 438762955680. Its totient is φ = 33429556224.

The previous prime is 125360840113. The next prime is 125360840161. The reversal of 125360840160 is 61048063521.

It is a happy number.

125360840160 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 608 + 40 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125360840161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14505037 + ... + 14513676.

It is an arithmetic number, because the mean of its divisors is an integer number (4570447455).

Almost surely, 2^125360840160 is an apocalyptic number.

125360840160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125360840160 is an abundant number, since it is smaller than the sum of its proper divisors (313402115520).

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

125360840160 is a wasteful number, since it uses less digits than its factorization.

125360840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29018737 (or 29018723 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 125360840160 in words is "one hundred twenty-five billion, three hundred sixty million, eight hundred forty thousand, one hundred sixty".