132552 has 48 divisors (see below), whose sum is σ = 411840. Its totient is φ = 37728.

The previous prime is 132547. The next prime is 132589. The reversal of 132552 is 255231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 3⁶ + 5³ + 2¹⁶ + 5⁴ + 2¹⁶ .

It is an unprimeable number.

132552 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 11 ways as a sum of consecutive naturals, for example, 373 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2¹³²⁵⁵² is an apocalyptic number.

132552 is a gapful number since it is divisible by the number (12) 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 132552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205920).

132552 is an abundant number, since it is smaller than the sum of its proper divisors (279288).

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

132552 is a wasteful number, since it uses less digits than its factorization.

132552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 132552 is about 364.0769149507. The cubic root of 132552 is about 50.9873094145.

Adding to 132552 its reverse (255231), we get a palindrome (387783).

The spelling of 132552 in words is "one hundred thirty-two thousand, five hundred fifty-two".