131934432168 has 432 divisors, whose sum is σ = 469287704340. Its totient is φ = 33338511360.

The previous prime is 131934432163. The next prime is 131934432233. The reversal of 131934432168 is 861234439131.

131934432168 is a `hidden beast` number, since 1 + 3 + 193 + 443 + 2 + 16 + 8 = 666.

131934432168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 119742297444 + 12192134724 = 346038^2 + 110418^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131934432163) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15790680 + ... + 15799032.

Almost surely, 2^131934432168 is an apocalyptic number.

131934432168 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 131934432168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234643852170).

131934432168 is an abundant number, since it is smaller than the sum of its proper divisors (337353272172).

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

131934432168 is a wasteful number, since it uses less digits than its factorization.

131934432168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8413 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 131934432168 in words is "one hundred thirty-one billion, nine hundred thirty-four million, four hundred thirty-two thousand, one hundred sixty-eight".