131791407462585 has 128 divisors (see below), whose sum is σ = 253312061184000. Its totient is φ = 64626833166336.

The previous prime is 131791407462571. The next prime is 131791407462623. The reversal of 131791407462585 is 585264704197131.

131791407462585 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 9 + 1 + 4 + 0 + 7 + 46 + 2 + 585 = 666.

It is not a de Polignac number, because 131791407462585 - 2³⁶ = 131722687985849 is a prime.

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, 614393731 + ... + 614608199.

It is an arithmetic number, because the mean of its divisors is an integer number (1979000478000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅131791407462585 = 263582814925170, but 3⋅131791407462585 = 395374222387755 is not.

Almost surely, 2^{131791407462585} is an apocalyptic number.

131791407462585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131791407462585 is a deficient number, since it is larger than the sum of its proper divisors (121520653721415).

131791407462585 is a wasteful number, since it uses less digits than its factorization.

131791407462585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215872 (or 215866 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 131791407462585 in words is "one hundred thirty-one trillion, seven hundred ninety-one billion, four hundred seven million, four hundred sixty-two thousand, five hundred eighty-five".