131194731168 has 144 divisors (see below), whose sum is σ = 374679841536. Its totient is φ = 43545116160.

The previous prime is 131194731029. The next prime is 131194731191. The reversal of 131194731168 is 861137491131.

131194731168 is a `hidden beast` number, since 1 + 3 + 1 + 19 + 473 + 1 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120031230 + ... + 120032322.

It is an arithmetic number, because the mean of its divisors is an integer number (2601943344).

Almost surely, 2^131194731168 is an apocalyptic number.

131194731168 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 131194731168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187339920768).

131194731168 is an abundant number, since it is smaller than the sum of its proper divisors (243485110368).

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

131194731168 is a wasteful number, since it uses less digits than its factorization.

131194731168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2496 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 131194731168 in words is "one hundred thirty-one billion, one hundred ninety-four million, seven hundred thirty-one thousand, one hundred sixty-eight".