131328 has 72 divisors (see below), whose sum is σ = 408800. Its totient is φ = 41472.

The previous prime is 131321. The next prime is 131357. The reversal of 131328 is 823131.

131328 is a nontrivial binomial coefficient, being equal to C(513, 2).

It is a tau number, because it is divible by the number of its divisors (72).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 1 + 3 + 3⁵ + 1 + 2¹⁷ + 8 .

Its product of digits (144) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 131328.

It is not an unprimeable number, because it can be changed into a prime (131321) by changing a digit.

131328 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 (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6903 + ... + 6921.

2¹³¹³²⁸ is an apocalyptic number.

131328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131328 is the 512-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204400).

131328 is an abundant number, since it is smaller than the sum of its proper divisors (277472).

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

131328 is an equidigital number, since it uses as much as digits as its factorization.

131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 24 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 131328 is about 362.3920528930. The cubic root of 131328 is about 50.8298830111.

Adding to 131328 its reverse (823131), we get a palindrome (954459).

It can be divided in two parts, 1 and 31328, that added together give a square (31329 = 177²).

The spelling of 131328 in words is "one hundred thirty-one thousand, three hundred twenty-eight".