132882165 has 72 divisors (see below), whose sum is σ = 253334952. Its totient is φ = 64396800.

The previous prime is 132882157. The next prime is 132882173. The reversal of 132882165 is 561288231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132882157) and next prime (132882173).

It can be written as a sum of positive squares in 12 ways, for example, as 13242321 + 119639844 = 3639^2 + 10938^2 .

It is not a de Polignac number, because 132882165 - 2³ = 132882157 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 768019 + ... + 768191.

It is an arithmetic number, because the mean of its divisors is an integer number (3518541).

Almost surely, 2^132882165 is an apocalyptic number.

132882165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132882165 is a deficient number, since it is larger than the sum of its proper divisors (120452787).

132882165 is a wasteful number, since it uses less digits than its factorization.

132882165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 132882165 is about 11527.4526674370. The cubic root of 132882165 is about 510.2960795201.

The spelling of 132882165 in words is "one hundred thirty-two million, eight hundred eighty-two thousand, one hundred sixty-five".