131343984 has 80 divisors (see below), whose sum is σ = 393427200. Its totient is φ = 41874624.

The previous prime is 131343983. The next prime is 131344013. The reversal of 131343984 is 489343131.

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

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 (131343983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327 + ... + 16545.

It is an arithmetic number, because the mean of its divisors is an integer number (4917840).

Almost surely, 2^131343984 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 131343984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196713600).

131343984 is an abundant number, since it is smaller than the sum of its proper divisors (262083216).

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

131343984 is a wasteful number, since it uses less digits than its factorization.

131343984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259 (or 13247 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 131343984 is about 11460.5403013994. The cubic root of 131343984 is about 508.3194510467.

The spelling of 131343984 in words is "one hundred thirty-one million, three hundred forty-three thousand, nine hundred eighty-four".