125903128761 has 32 divisors (see below), whose sum is σ = 188154368000. Its totient is φ = 83204502480.

The previous prime is 125903128753. The next prime is 125903128763. The reversal of 125903128761 is 167821309521.

125903128761 is a `hidden beast` number, since 1 + 2 + 590 + 31 + 28 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 125903128761 - 2³ = 125903128753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125903128763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1412850 + ... + 1499316.

It is an arithmetic number, because the mean of its divisors is an integer number (5879824000).

Almost surely, 2^125903128761 is an apocalyptic number.

It is an amenable number.

125903128761 is a deficient number, since it is larger than the sum of its proper divisors (62251239239).

125903128761 is a wasteful number, since it uses less digits than its factorization.

125903128761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86946 (or 86940 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 125903128761 in words is "one hundred twenty-five billion, nine hundred three million, one hundred twenty-eight thousand, seven hundred sixty-one".