131864 has 16 divisors (see below), whose sum is σ = 252720. Its totient is φ = 64480.

The previous prime is 131861. The next prime is 131891. The reversal of 131864 is 468131.

It is a super-2 number, since 2×131864² = 34776228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131861) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 269 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2¹³¹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

131864 is a deficient number, since it is larger than the sum of its proper divisors (120856).

131864 is a wasteful number, since it uses less digits than its factorization.

131864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 131864 is about 363.1308304179. The cubic root of 131864 is about 50.8989412357.

Subtracting from 131864 its sum of digits (23), we obtain a triangular number (131841 = T₅₁₃).

Adding to 131864 its reverse (468131), we get a palindrome (599995).

The spelling of 131864 in words is "one hundred thirty-one thousand, eight hundred sixty-four".