131727571768665 has 32 divisors (see below), whose sum is σ = 234935347795200. Its totient is φ = 70028805548160.

The previous prime is 131727571768657. The next prime is 131727571768669. The reversal of 131727571768665 is 566867175727131.

131727571768665 is a `hidden beast` number, since 1 + 317 + 2 + 7 + 5 + 7 + 176 + 86 + 65 = 666.

It is not a de Polignac number, because 131727571768665 - 2³ = 131727571768657 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131727571768593 and 131727571768602.

It is not an unprimeable number, because it can be changed into a prime (131727571768669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568703660 + ... + 1568787629.

It is an arithmetic number, because the mean of its divisors is an integer number (7341729618600).

Almost surely, 2^{131727571768665} is an apocalyptic number.

131727571768665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131727571768665 is a deficient number, since it is larger than the sum of its proper divisors (103207776026535).

131727571768665 is a wasteful number, since it uses less digits than its factorization.

131727571768665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137491614 (or 3137491608 counting only the distinct ones).

The product of its digits is 622339200, while the sum is 72.

The spelling of 131727571768665 in words is "one hundred thirty-one trillion, seven hundred twenty-seven billion, five hundred seventy-one million, seven hundred sixty-eight thousand, six hundred sixty-five".