132756 has 48 divisors (see below), whose sum is σ = 357504. Its totient is φ = 38016.

The previous prime is 132751. The next prime is 132757. The reversal of 132756 is 657231.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132751) by changing a digit.

132756 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 15 ways as a sum of consecutive naturals, for example, 3570 + ... + 3606.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2¹³²⁷⁵⁶ 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 132756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178752).

132756 is an abundant number, since it is smaller than the sum of its proper divisors (224748).

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

132756 is a wasteful number, since it uses less digits than its factorization.

132756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 132756 is about 364.3569678214. The cubic root of 132756 is about 51.0134528140.

Adding to 132756 its reverse (657231), we get a palindrome (789987).

It can be divided in two parts, 132 and 756, that added together give a palindrome (888).

The spelling of 132756 in words is "one hundred thirty-two thousand, seven hundred fifty-six".