131666688 has 144 divisors (see below), whose sum is σ = 399315840. Its totient is φ = 42771456.

The previous prime is 131666663. The next prime is 131666707. The reversal of 131666688 is 886666131.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×131666688² = 34672233457778688, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296995 + ... + 297437.

Almost surely, 2^131666688 is an apocalyptic number.

131666688 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 131666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199657920).

131666688 is an abundant number, since it is smaller than the sum of its proper divisors (267649152).

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

131666688 is an equidigital number, since it uses as much as digits as its factorization.

131666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 131666688 is about 11474.6105816276. The cubic root of 131666688 is about 508.7354136602.

The spelling of 131666688 in words is "one hundred thirty-one million, six hundred sixty-six thousand, six hundred eighty-eight".