131688018 has 256 divisors, whose sum is σ = 408084480. Its totient is φ = 30792960.

The previous prime is 131687977. The next prime is 131688061. The reversal of 131688018 is 810886131.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5725555 + ... + 5725577.

It is an arithmetic number, because the mean of its divisors is an integer number (1594080).

Almost surely, 2^131688018 is an apocalyptic number.

131688018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131688018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204042240).

131688018 is an abundant number, since it is smaller than the sum of its proper divisors (276396462).

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

131688018 is a wasteful number, since it uses less digits than its factorization.

131688018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 131688018 is about 11475.5399872947. The cubic root of 131688018 is about 508.7628838847.

The spelling of 131688018 in words is "one hundred thirty-one million, six hundred eighty-eight thousand, eighteen".