125135314704 has 120 divisors (see below), whose sum is σ = 353971987200. Its totient is φ = 41263958016.

The previous prime is 125135314699. The next prime is 125135314751. The reversal of 125135314704 is 407413531521.

125135314704 is a `hidden beast` number, since 1 + 2 + 51 + 3 + 531 + 4 + 70 + 4 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16355872 + ... + 16363520.

It is an arithmetic number, because the mean of its divisors is an integer number (2949766560).

Almost surely, 2^125135314704 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 125135314704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176985993600).

125135314704 is an abundant number, since it is smaller than the sum of its proper divisors (228836672496).

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

125135314704 is a wasteful number, since it uses less digits than its factorization.

125135314704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 125135314704 in words is "one hundred twenty-five billion, one hundred thirty-five million, three hundred fourteen thousand, seven hundred four".