132657165 has 24 divisors (see below), whose sum is σ = 237870360. Its totient is φ = 68310144.

The previous prime is 132657163. The next prime is 132657167. The reversal of 132657165 is 561756231.

132657165 is a `hidden beast` number, since 1 + 3 + 26 + 571 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (132657163) and next prime (132657167).

It can be written as a sum of positive squares in 4 ways, for example, as 49154121 + 83503044 = 7011^2 + 9138^2 .

It is not a de Polignac number, because 132657165 - 2¹ = 132657163 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 (132657163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49522 + ... + 52131.

It is an arithmetic number, because the mean of its divisors is an integer number (9911265).

Almost surely, 2^132657165 is an apocalyptic number.

132657165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132657165 is a deficient number, since it is larger than the sum of its proper divisors (105213195).

132657165 is a wasteful number, since it uses less digits than its factorization.

132657165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101693 (or 101690 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 132657165 is about 11517.6892213673. The cubic root of 132657165 is about 510.0079006850.

The spelling of 132657165 in words is "one hundred thirty-two million, six hundred fifty-seven thousand, one hundred sixty-five".