125165137888 has 96 divisors (see below), whose sum is σ = 283486936320. Its totient is φ = 53288064000.

The previous prime is 125165137861. The next prime is 125165137901. The reversal of 125165137888 is 888731561521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22992895 + ... + 22998337.

It is an arithmetic number, because the mean of its divisors is an integer number (2952988920).

Almost surely, 2^125165137888 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 125165137888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141743468160).

125165137888 is an abundant number, since it is smaller than the sum of its proper divisors (158321798432).

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

125165137888 is a wasteful number, since it uses less digits than its factorization.

125165137888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120 (or 6112 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 55.

The spelling of 125165137888 in words is "one hundred twenty-five billion, one hundred sixty-five million, one hundred thirty-seven thousand, eight hundred eighty-eight".