131659035755904 has 512 divisors, whose sum is σ = 412700411491200. Its totient is φ = 41177913753600.

The previous prime is 131659035755903. The next prime is 131659035755909. The reversal of 131659035755904 is 409557530956131.

It is a happy number.

131659035755904 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 5 + 9 + 0 + 3 + 575 + 59 + 0 + 4 = 666.

131659035755904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131659035755903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32452311444 + ... + 32452315500.

Almost surely, 2^{131659035755904} 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 131659035755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206350205745600).

131659035755904 is an abundant number, since it is smaller than the sum of its proper divisors (281041375735296).

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

131659035755904 is a wasteful number, since it uses less digits than its factorization.

131659035755904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 76545000, while the sum is 63.

The spelling of 131659035755904 in words is "one hundred thirty-one trillion, six hundred fifty-nine billion, thirty-five million, seven hundred fifty-five thousand, nine hundred four".