131959347667968 has 352 divisors, whose sum is σ = 374283606394368. Its totient is φ = 41190948864000.

The previous prime is 131959347667943. The next prime is 131959347667999. The reversal of 131959347667968 is 869766743959131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16701596818 + ... + 16701604718.

It is an arithmetic number, because the mean of its divisors is an integer number (1063305699984).

Almost surely, 2^{131959347667968} 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 131959347667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187141803197184).

131959347667968 is an abundant number, since it is smaller than the sum of its proper divisors (242324258726400).

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

131959347667968 is a wasteful number, since it uses less digits than its factorization.

131959347667968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9491 counting only the distinct ones).

The product of its digits is 11110659840, while the sum is 84.

The spelling of 131959347667968 in words is "one hundred thirty-one trillion, nine hundred fifty-nine billion, three hundred forty-seven million, six hundred sixty-seven thousand, nine hundred sixty-eight".