131164 has 18 divisors (see below), whose sum is σ = 253232. Its totient is φ = 59400.

The previous prime is 131149. The next prime is 131171. The reversal of 131164 is 461131.

It is a congruent number.

It is an unprimeable number.

131164 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 349 + ... + 619.

2¹³¹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

131164 is a deficient number, since it is larger than the sum of its proper divisors (122068).

131164 is a wasteful number, since it uses less digits than its factorization.

131164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 131164 is about 362.1657079294. The cubic root of 131164 is about 50.8087157220.

Adding to 131164 its reverse (461131), we get a palindrome (592295).

The spelling of 131164 in words is "one hundred thirty-one thousand, one hundred sixty-four".