131719168 has 56 divisors (see below), whose sum is σ = 301185072. Its totient is φ = 56426496.

The previous prime is 131719163. The next prime is 131719169. The reversal of 131719168 is 861917131.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×131719168² = 34699878437224448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131719163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56196 + ... + 58492.

Almost surely, 2^131719168 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 131719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150592536).

131719168 is an abundant number, since it is smaller than the sum of its proper divisors (169465904).

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

131719168 is an frugal number, since it uses more digits than its factorization.

131719168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2306 counting only the distinct ones).

The product of its digits is 9072, while the sum is 37.

The square root of 131719168 is about 11476.8971416494. The cubic root of 131719168 is about 508.8029956445.

The spelling of 131719168 in words is "one hundred thirty-one million, seven hundred nineteen thousand, one hundred sixty-eight".