165138036 has 96 divisors (see below), whose sum is σ = 458438400. Its totient is φ = 46230912.

The previous prime is 165138011. The next prime is 165138053. The reversal of 165138036 is 630831561.

It is a junction number, because it is equal to n+sod(n) for n = 165137988 and 165138006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217770 + ... + 218526.

It is an arithmetic number, because the mean of its divisors is an integer number (4775400).

Almost surely, 2^165138036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165138036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229219200).

165138036 is an abundant number, since it is smaller than the sum of its proper divisors (293300364).

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

165138036 is a wasteful number, since it uses less digits than its factorization.

165138036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 165138036 is about 12850.6044994000. The cubic root of 165138036 is about 548.6335622594.

Adding to 165138036 its reverse (630831561), we get a palindrome (795969597).

The spelling of 165138036 in words is "one hundred sixty-five million, one hundred thirty-eight thousand, thirty-six".