132165 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 63360.

The previous prime is 132157. The next prime is 132169. The reversal of 132165 is 561231.

It is not a de Polignac number, because 132165 - 2³ = 132157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹³²¹⁶⁵ is an apocalyptic number.

132165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132165 is the 297-th pentagonal number.

It is an amenable number.

132165 is a deficient number, since it is larger than the sum of its proper divisors (127035).

132165 is a wasteful number, since it uses less digits than its factorization.

132165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

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

The square root of 132165 is about 363.5450453520. The cubic root of 132165 is about 50.9376400438.

Adding to 132165 its reverse (561231), we get a palindrome (693396).

The spelling of 132165 in words is "one hundred thirty-two thousand, one hundred sixty-five".