131688364808 has 256 divisors, whose sum is σ = 343688970240. Its totient is φ = 45635788800.

The previous prime is 131688364807. The next prime is 131688364853. The reversal of 131688364808 is 808463886131.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (131688364807) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65288216 + ... + 65290232.

It is an arithmetic number, because the mean of its divisors is an integer number (1342535040).

Almost surely, 2^131688364808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131688364808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171844485120).

131688364808 is an abundant number, since it is smaller than the sum of its proper divisors (212000605432).

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

131688364808 is a wasteful number, since it uses less digits than its factorization.

131688364808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 56.

The spelling of 131688364808 in words is "one hundred thirty-one billion, six hundred eighty-eight million, three hundred sixty-four thousand, eight hundred eight".