165132205 has 32 divisors (see below), whose sum is σ = 234432000. Its totient is φ = 111597696.

The previous prime is 165132193. The next prime is 165132217. The reversal of 165132205 is 502231561.

It is an interprime number because it is at equal distance from previous prime (165132193) and next prime (165132217).

It is not a de Polignac number, because 165132205 - 2¹³ = 165124013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165132205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124536 + ... + 125854.

It is an arithmetic number, because the mean of its divisors is an integer number (7326000).

Almost surely, 2^165132205 is an apocalyptic number.

It is an amenable number.

165132205 is a deficient number, since it is larger than the sum of its proper divisors (69299795).

165132205 is an equidigital number, since it uses as much as digits as its factorization.

165132205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 165132205 is about 12850.3776209106. The cubic root of 165132205 is about 548.6271047930.

Adding to 165132205 its reverse (502231561), we get a palindrome (667363766).

It can be divided in two parts, 1651 and 32205, that added together give a square (33856 = 184²).

The spelling of 165132205 in words is "one hundred sixty-five million, one hundred thirty-two thousand, two hundred five".