125082572038344 has 192 divisors, whose sum is σ = 370849913179200. Its totient is φ = 39387858149376.

The previous prime is 125082572038289. The next prime is 125082572038409. The reversal of 125082572038344 is 443830275280521.

125082572038344 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 8 + 2 + 572 + 0 + 38 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8241712 + ... + 17835104.

It is an arithmetic number, because the mean of its divisors is an integer number (1931509964475).

Almost surely, 2^{125082572038344} 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 125082572038344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185424956589600).

125082572038344 is an abundant number, since it is smaller than the sum of its proper divisors (245767341140856).

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

125082572038344 is a wasteful number, since it uses less digits than its factorization.

125082572038344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593786 (or 9593770 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 125082572038344 in words is "one hundred twenty-five trillion, eighty-two billion, five hundred seventy-two million, thirty-eight thousand, three hundred forty-four".