131642534507661 has 48 divisors (see below), whose sum is σ = 190887203270400. Its totient is φ = 87422322733056.

The previous prime is 131642534507641. The next prime is 131642534507681. The reversal of 131642534507661 is 166705435246131.

131642534507661 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 42 + 5 + 34 + 507 + 6 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (131642534507641) and next prime (131642534507681).

It is not a de Polignac number, because 131642534507661 - 2¹⁷ = 131642534376589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131642534507598 and 131642534507607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131642534507641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8627198250 + ... + 8627213508.

It is an arithmetic number, because the mean of its divisors is an integer number (3976816734800).

Almost surely, 2^{131642534507661} is an apocalyptic number.

It is an amenable number.

131642534507661 is a deficient number, since it is larger than the sum of its proper divisors (59244668762739).

131642534507661 is a wasteful number, since it uses less digits than its factorization.

131642534507661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19010 (or 19007 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 131642534507661 in words is "one hundred thirty-one trillion, six hundred forty-two billion, five hundred thirty-four million, five hundred seven thousand, six hundred sixty-one".