125809100928 has 288 divisors, whose sum is σ = 427080625920. Its totient is φ = 35438054400.

The previous prime is 125809100873. The next prime is 125809100947. The reversal of 125809100928 is 829001908521.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×125809100928² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3992113 + ... + 4023503.

It is an arithmetic number, because the mean of its divisors is an integer number (1482918840).

Almost surely, 2^125809100928 is an apocalyptic number.

125809100928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125809100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213540312960).

125809100928 is an abundant number, since it is smaller than the sum of its proper divisors (301271524992).

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

125809100928 is a wasteful number, since it uses less digits than its factorization.

125809100928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31496 (or 31474 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 125809100928 in words is "one hundred twenty-five billion, eight hundred nine million, one hundred thousand, nine hundred twenty-eight".