125900169101056 has 144 divisors (see below), whose sum is σ = 293176760934400. Its totient is φ = 53937777761280.

The previous prime is 125900169101023. The next prime is 125900169101059. The reversal of 125900169101056 is 650101961009521.

It is a junction number, because it is equal to n+sod(n) for n = 125900169100997 and 125900169101015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125900169101059) 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, 244815265 + ... + 245328991.

Almost surely, 2^{125900169101056} is an apocalyptic number.

125900169101056 is a gapful number since it is divisible by the number (16) 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 125900169101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146588380467200).

125900169101056 is an abundant number, since it is smaller than the sum of its proper divisors (167276591833344).

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

125900169101056 is an frugal number, since it uses more digits than its factorization.

125900169101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516555 (or 516527 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 46.

The spelling of 125900169101056 in words is "one hundred twenty-five trillion, nine hundred billion, one hundred sixty-nine million, one hundred one thousand, fifty-six".