131296 has 24 divisors (see below), whose sum is σ = 282744. Its totient is φ = 59520.

The previous prime is 131293. The next prime is 131297. The reversal of 131296 is 692131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (11781).

2¹³¹²⁹⁶ is an apocalyptic number.

131296 is a gapful number since it is divisible by the number (16) 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 131296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141372).

131296 is an abundant number, since it is smaller than the sum of its proper divisors (151448).

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

131296 is a wasteful number, since it uses less digits than its factorization.

131296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 131296 is about 362.3478991246. The cubic root of 131296 is about 50.8257541927.

The spelling of 131296 in words is "one hundred thirty-one thousand, two hundred ninety-six".