131264 has 28 divisors (see below), whose sum is σ = 298704. Its totient is φ = 56064.

The previous prime is 131251. The next prime is 131267. The reversal of 131264 is 462131.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (131267) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 302 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (10668).

131264 is a Friedman number, since it can be written as 64*(3+2^11), using all its digits and the basic arithmetic operations.

2¹³¹²⁶⁴ is an apocalyptic number.

131264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352).

131264 is an abundant number, since it is smaller than the sum of its proper divisors (167440).

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

131264 is an equidigital number, since it uses as much as digits as its factorization.

131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 131264 is about 362.3037399752. The cubic root of 131264 is about 50.8216247034.

Adding to 131264 its reverse (462131), we get a palindrome (593395).

The spelling of 131264 in words is "one hundred thirty-one thousand, two hundred sixty-four".