131344 has 10 divisors (see below), whose sum is σ = 254510. Its totient is φ = 65664.

The previous prime is 131321. The next prime is 131357. The reversal of 131344 is 443131.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 48400 = 288^2 + 220^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 8209 = 131344 / (1 + 3 + 1 + 3 + 4 + 4).

It is a d-powerful number, because it can be written as 1 + 3³ + 3⁵ + 1 + 4⁸ + 4⁸ .

It is an unprimeable number.

131344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4089 + ... + 4120.

It is an arithmetic number, because the mean of its divisors is an integer number (25451).

2¹³¹³⁴⁴ is an apocalyptic number.

It is an amenable number.

131344 is a deficient number, since it is larger than the sum of its proper divisors (123166).

131344 is an equidigital number, since it uses as much as digits as its factorization.

131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8217 (or 8211 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 131344 is about 362.4141277599. The cubic root of 131344 is about 50.8319471687.

Subtracting from 131344 its sum of digits (16), we obtain a triangular number (131328 = T₅₁₂).

Adding to 131344 its reverse (443131), we get a palindrome (574475).

The spelling of 131344 in words is "one hundred thirty-one thousand, three hundred forty-four".