131688 has 48 divisors (see below), whose sum is σ = 374400. Its totient is φ = 41760.

The previous prime is 131687. The next prime is 131701. The reversal of 131688 is 886131.

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 (131687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2203 + ... + 2261.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2¹³¹⁶⁸⁸ is an apocalyptic number.

131688 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 131688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

131688 is an abundant number, since it is smaller than the sum of its proper divisors (242712).

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

131688 is a wasteful number, since it uses less digits than its factorization.

131688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 131688 is about 362.8884126009. Note that the first 3 decimals coincide. The cubic root of 131688 is about 50.8762860704.

The spelling of 131688 in words is "one hundred thirty-one thousand, six hundred eighty-eight".