166131375125 has 32 divisors (see below), whose sum is σ = 209252350944. Its totient is φ = 131678976000.

The previous prime is 166131375107. The next prime is 166131375131. The reversal of 166131375125 is 521573131661.

166131375125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 165975574801 + 155800324 = 407401^2 + 12482^2 .

It is not a de Polignac number, because 166131375125 - 2⁸ = 166131374869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6915635 + ... + 6939615.

It is an arithmetic number, because the mean of its divisors is an integer number (6539135967).

Almost surely, 2^166131375125 is an apocalyptic number.

It is an amenable number.

166131375125 is a deficient number, since it is larger than the sum of its proper divisors (43120975819).

166131375125 is a wasteful number, since it uses less digits than its factorization.

166131375125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24506 (or 24496 counting only the distinct ones).

The product of its digits is 113400, while the sum is 41.

The spelling of 166131375125 in words is "one hundred sixty-six billion, one hundred thirty-one million, three hundred seventy-five thousand, one hundred twenty-five".