131198688 has 108 divisors (see below), whose sum is σ = 383829264. Its totient is φ = 42508800.

The previous prime is 131198687. The next prime is 131198701. The reversal of 131198688 is 886891131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131198687) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 483993 + ... + 484263.

Almost surely, 2^131198688 is an apocalyptic number.

131198688 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 131198688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191914632).

131198688 is an abundant number, since it is smaller than the sum of its proper divisors (252630576).

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

131198688 is a wasteful number, since it uses less digits than its factorization.

131198688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 317 counting only the distinct ones).

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

The square root of 131198688 is about 11454.1995791937. The cubic root of 131198688 is about 508.1319433246.

It can be divided in two parts, 1311 and 98688, that added together give a palindrome (99999).

The spelling of 131198688 in words is "one hundred thirty-one million, one hundred ninety-eight thousand, six hundred eighty-eight".