131345 has 8 divisors (see below), whose sum is σ = 159720. Its totient is φ = 103680.

The previous prime is 131321. The next prime is 131357. The reversal of 131345 is 543131.

It can be written as a sum of positive squares in 4 ways, for example, as 36481 + 94864 = 191^2 + 308^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131345 - 2¹² = 127249 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (19965).

2¹³¹³⁴⁵ is an apocalyptic number.

It is an amenable number.

131345 is a deficient number, since it is larger than the sum of its proper divisors (28375).

131345 is a wasteful number, since it uses less digits than its factorization.

131345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

The product of its digits is 180, while the sum is 17.

The square root of 131345 is about 362.4155073945. The cubic root of 131345 is about 50.8320761730.

Subtracting from 131345 its sum of digits (17), we obtain a triangular number (131328 = T₅₁₂).

Adding to 131345 its reverse (543131), we get a palindrome (674476).

The spelling of 131345 in words is "one hundred thirty-one thousand, three hundred forty-five".