131317888 has 64 divisors (see below), whose sum is σ = 287242200. Its totient is φ = 59424768.

The previous prime is 131317841. The next prime is 131317889. The reversal of 131317888 is 888713131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86266944 + 45050944 = 9288^2 + 6712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 131317888.

It is not an unprimeable number, because it can be changed into a prime (131317889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87448 + ... + 88936.

Almost surely, 2^131317888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131317888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143621100).

131317888 is an abundant number, since it is smaller than the sum of its proper divisors (155924312).

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

131317888 is a wasteful number, since it uses less digits than its factorization.

131317888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1557 counting only the distinct ones).

The product of its digits is 32256, while the sum is 40.

The square root of 131317888 is about 11459.4017295843. The cubic root of 131317888 is about 508.2857837694.

The spelling of 131317888 in words is "one hundred thirty-one million, three hundred seventeen thousand, eight hundred eighty-eight".