165132 has 48 divisors (see below), whose sum is σ = 470400. Its totient is φ = 49680.

The previous prime is 165103. The next prime is 165133. The reversal of 165132 is 231561.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165133) by changing a digit.

165132 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, 1119 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (9800).

2¹⁶⁵¹³² is an apocalyptic number.

165132 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 165132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235200).

165132 is an abundant number, since it is smaller than the sum of its proper divisors (305268).

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

165132 is a wasteful number, since it uses less digits than its factorization.

165132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 165132 is about 406.3643685167. The cubic root of 165132 is about 54.8626877766.

Adding to 165132 its reverse (231561), we get a palindrome (396693).

The spelling of 165132 in words is "one hundred sixty-five thousand, one hundred thirty-two".