131168595168 has 288 divisors, whose sum is σ = 426204979200. Its totient is φ = 37931701248.

The previous prime is 131168595157. The next prime is 131168595169. The reversal of 131168595168 is 861595861131.

131168595168 is a `hidden beast` number, since 1 + 3 + 11 + 68 + 59 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131168595169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9027013 + ... + 9041531.

It is an arithmetic number, because the mean of its divisors is an integer number (1479878400).

Almost surely, 2^131168595168 is an apocalyptic number.

131168595168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131168595168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213102489600).

131168595168 is an abundant number, since it is smaller than the sum of its proper divisors (295036384032).

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

131168595168 is a wasteful number, since it uses less digits than its factorization.

131168595168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14694 (or 14683 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The spelling of 131168595168 in words is "one hundred thirty-one billion, one hundred sixty-eight million, five hundred ninety-five thousand, one hundred sixty-eight".