125165712864 has 96 divisors (see below), whose sum is σ = 348342936480. Its totient is φ = 39216218112.

The previous prime is 125165712863. The next prime is 125165712877. The reversal of 125165712864 is 468217561521.

It is a happy number.

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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125165712863) 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, 1205142 + ... + 1304874.

It is an arithmetic number, because the mean of its divisors is an integer number (3628572255).

Almost surely, 2^125165712864 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 125165712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174171468240).

125165712864 is an abundant number, since it is smaller than the sum of its proper divisors (223177223616).

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

125165712864 is a wasteful number, since it uses less digits than its factorization.

125165712864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100532 (or 100524 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The spelling of 125165712864 in words is "one hundred twenty-five billion, one hundred sixty-five million, seven hundred twelve thousand, eight hundred sixty-four".