131364 has 36 divisors (see below), whose sum is σ = 343980. Its totient is φ = 42240.

The previous prime is 131363. The next prime is 131371. The reversal of 131364 is 463131.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 116964 = 120^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 1 + 3⁸ + 3¹⁰ + 1 + 6³ + 4⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131364.

It is not an unprimeable number, because it can be changed into a prime (131363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1432 + ... + 1520.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2¹³¹³⁶⁴ 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 131364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990).

131364 is an abundant number, since it is smaller than the sum of its proper divisors (212616).

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

131364 is a wasteful number, since it uses less digits than its factorization.

131364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131364 is about 362.4417194529. The cubic root of 131364 is about 50.8345271301.

Adding to 131364 its reverse (463131), we get a palindrome (594495).

The spelling of 131364 in words is "one hundred thirty-one thousand, three hundred sixty-four".