165042052 has 48 divisors (see below), whose sum is σ = 358985088. Its totient is φ = 64765440.

The previous prime is 165042049. The next prime is 165042071. The reversal of 165042052 is 250240561.

165042052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12927 + ... + 22297.

It is an arithmetic number, because the mean of its divisors is an integer number (7478856).

Almost surely, 2^165042052 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 165042052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179492544).

165042052 is an abundant number, since it is smaller than the sum of its proper divisors (193943036).

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

165042052 is a wasteful number, since it uses less digits than its factorization.

165042052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 165042052 is about 12846.8693462649. The cubic root of 165042052 is about 548.5272466561.

The spelling of 165042052 in words is "one hundred sixty-five million, forty-two thousand, fifty-two".