132816 has 20 divisors (see below), whose sum is σ = 343232. Its totient is φ = 44256.

The previous prime is 132763. The next prime is 132817. The reversal of 132816 is 618231.

132816 is nontrivially palindromic in base 5.

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

It is a junction number, because it is equal to n+sod(n) for n = 132792 and 132801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132817) by changing a digit.

132816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1336 + ... + 1431.

2¹³²⁸¹⁶ is an apocalyptic number.

132816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132816 is an abundant number, since it is smaller than the sum of its proper divisors (210416).

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

132816 is a wasteful number, since it uses less digits than its factorization.

132816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2772 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 132816 is about 364.4392953566. The cubic root of 132816 is about 51.0211369518.

The spelling of 132816 in words is "one hundred thirty-two thousand, eight hundred sixteen".