131117688 has 96 divisors (see below), whose sum is σ = 388009440. Its totient is φ = 39755520.

The previous prime is 131117683. The next prime is 131117741. The reversal of 131117688 is 886711131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131117681) 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, 65470 + ... + 67442.

It is an arithmetic number, because the mean of its divisors is an integer number (4041765).

Almost surely, 2^131117688 is an apocalyptic number.

131117688 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 131117688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194004720).

131117688 is an abundant number, since it is smaller than the sum of its proper divisors (256891752).

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

131117688 is a wasteful number, since it uses less digits than its factorization.

131117688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 131117688 is about 11450.6632122336. The cubic root of 131117688 is about 508.0273509154.

The spelling of 131117688 in words is "one hundred thirty-one million, one hundred seventeen thousand, six hundred eighty-eight".