131287147633968 has 640 divisors, whose sum is σ = 375159348264960. Its totient is φ = 39419218944000.

The previous prime is 131287147633931. The next prime is 131287147634011. The reversal of 131287147633968 is 869336741782131.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123739064158 + ... + 123739065218.

It is an arithmetic number, because the mean of its divisors is an integer number (586186481664).

Almost surely, 2^{131287147633968} 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 131287147633968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187579674132480).

131287147633968 is an abundant number, since it is smaller than the sum of its proper divisors (243872200630992).

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

131287147633968 is a wasteful number, since it uses less digits than its factorization.

131287147633968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1691 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 69.

The spelling of 131287147633968 in words is "one hundred thirty-one trillion, two hundred eighty-seven billion, one hundred forty-seven million, six hundred thirty-three thousand, nine hundred sixty-eight".