131587575128064 has 1344 divisors, whose sum is σ = 445111361630208. Its totient is φ = 38497694515200.

The previous prime is 131587575128021. The next prime is 131587575128117. The reversal of 131587575128064 is 460821575785131.

131587575128064 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 8 + 7 + 57 + 512 + 8 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131587575127992 and 131587575128010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92471942457 + ... + 92471943879.

It is an arithmetic number, because the mean of its divisors is an integer number (331184048832).

Almost surely, 2^{131587575128064} 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 131587575128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222555680815104).

131587575128064 is an abundant number, since it is smaller than the sum of its proper divisors (313523786502144).

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

131587575128064 is a wasteful number, since it uses less digits than its factorization.

131587575128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 131587575128064 in words is "one hundred thirty-one trillion, five hundred eighty-seven billion, five hundred seventy-five million, one hundred twenty-eight thousand, sixty-four".