125165609088 has 128 divisors (see below), whose sum is σ = 361738446720. Its totient is φ = 38115311616.

The previous prime is 125165609071. The next prime is 125165609089. The reversal of 125165609088 is 880906561521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 125165609088.

It is not an unprimeable number, because it can be changed into a prime (125165609089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354981 + ... + 613467.

It is an arithmetic number, because the mean of its divisors is an integer number (2826081615).

Almost surely, 2^125165609088 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 125165609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180869223360).

125165609088 is an abundant number, since it is smaller than the sum of its proper divisors (236572837632).

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

125165609088 is a wasteful number, since it uses less digits than its factorization.

125165609088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258614 (or 258602 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The spelling of 125165609088 in words is "one hundred twenty-five billion, one hundred sixty-five million, six hundred nine thousand, eighty-eight".