165132306 has 48 divisors (see below), whose sum is σ = 378930240. Its totient is φ = 51827040.

The previous prime is 165132299. The next prime is 165132311. The reversal of 165132306 is 603231561.

165132306 is a `hidden beast` number, since 1 + 651 + 3 + 2 + 3 + 0 + 6 = 666.

165132306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165132306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57771 + ... + 60561.

It is an arithmetic number, because the mean of its divisors is an integer number (7894380).

Almost surely, 2^165132306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165132306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189465120).

165132306 is an abundant number, since it is smaller than the sum of its proper divisors (213797934).

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

165132306 is a wasteful number, since it uses less digits than its factorization.

165132306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 165132306 is about 12850.3815507556. The cubic root of 165132306 is about 548.6272166454.

Adding to 165132306 its reverse (603231561), we get a palindrome (768363867).

The spelling of 165132306 in words is "one hundred sixty-five million, one hundred thirty-two thousand, three hundred six".