131988168 has 96 divisors (see below), whose sum is σ = 401768640. Its totient is φ = 38839680.

The previous prime is 131988167. The next prime is 131988169. The reversal of 131988168 is 861889131.

It is an interprime number because it is at equal distance from previous prime (131988167) and next prime (131988169).

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 (131988167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18463 + ... + 24593.

It is an arithmetic number, because the mean of its divisors is an integer number (4185090).

Almost surely, 2^131988168 is an apocalyptic number.

131988168 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 131988168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

131988168 is an abundant number, since it is smaller than the sum of its proper divisors (269780472).

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

131988168 is a wasteful number, since it uses less digits than its factorization.

131988168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6172 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 131988168 is about 11488.6103598303. The cubic root of 131988168 is about 509.1491232982.

The spelling of 131988168 in words is "one hundred thirty-one million, nine hundred eighty-eight thousand, one hundred sixty-eight".