131585133467128 has 64 divisors (see below), whose sum is σ = 271349616384000. Its totient is φ = 59323417420800.

The previous prime is 131585133467119. The next prime is 131585133467141. The reversal of 131585133467128 is 821764331585131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18755113 + ... + 24797671.

It is an arithmetic number, because the mean of its divisors is an integer number (4239837756000).

Almost surely, 2^{131585133467128} 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 131585133467128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135674808192000).

131585133467128 is an abundant number, since it is smaller than the sum of its proper divisors (139764482916872).

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

131585133467128 is a wasteful number, since it uses less digits than its factorization.

131585133467128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044596 (or 6044592 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 58.

The spelling of 131585133467128 in words is "one hundred thirty-one trillion, five hundred eighty-five billion, one hundred thirty-three million, four hundred sixty-seven thousand, one hundred twenty-eight".