165135344 has 40 divisors (see below), whose sum is σ = 353844912. Its totient is φ = 74027520.

The previous prime is 165135343. The next prime is 165135349. The reversal of 165135344 is 443531561.

It is a self number, because there is not a number n which added to its sum of digits gives 165135344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165135343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6422 + ... + 19274.

Almost surely, 2^165135344 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 165135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176922456).

165135344 is an abundant number, since it is smaller than the sum of its proper divisors (188709568).

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

165135344 is a wasteful number, since it uses less digits than its factorization.

165135344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12945 (or 12939 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 165135344 is about 12850.4997568188. The cubic root of 165135344 is about 548.6305810573.

The spelling of 165135344 in words is "one hundred sixty-five million, one hundred thirty-five thousand, three hundred forty-four".