125892007128 has 576 divisors, whose sum is σ = 404867548800. Its totient is φ = 35097753600.

The previous prime is 125892007103. The next prime is 125892007133. The reversal of 125892007128 is 821700298521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 961007623 + ... + 961007753.

It is an arithmetic number, because the mean of its divisors is an integer number (702895050).

Almost surely, 2^125892007128 is an apocalyptic number.

125892007128 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 125892007128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202433774400).

125892007128 is an abundant number, since it is smaller than the sum of its proper divisors (278975541672).

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

125892007128 is a wasteful number, since it uses less digits than its factorization.

125892007128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 125892007128 in words is "one hundred twenty-five billion, eight hundred ninety-two million, seven thousand, one hundred twenty-eight".