131893287207168 has 144 divisors (see below), whose sum is σ = 377365454161920. Its totient is φ = 40764330436608.

The previous prime is 131893287207167. The next prime is 131893287207173. The reversal of 131893287207168 is 861702782398131.

It is a junction number, because it is equal to n+sod(n) for n = 131893287207099 and 131893287207108.

It is not an unprimeable number, because it can be changed into a prime (131893287207161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 95470980 + ... + 96842627.

It is an arithmetic number, because the mean of its divisors is an integer number (2620593431680).

Almost surely, 2^{131893287207168} is an apocalyptic number.

It is an amenable number.

131893287207168 is an abundant number, since it is smaller than the sum of its proper divisors (245472166954752).

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

131893287207168 is a wasteful number, since it uses less digits than its factorization.

131893287207168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192313692 (or 192313678 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 131893287207168 in words is "one hundred thirty-one trillion, eight hundred ninety-three billion, two hundred eighty-seven million, two hundred seven thousand, one hundred sixty-eight".