165185352 has 64 divisors (see below), whose sum is σ = 461865600. Its totient is φ = 54699840.

The previous prime is 165185327. The next prime is 165185357. The reversal of 165185352 is 253581561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165185357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31477 + ... + 36347.

It is an arithmetic number, because the mean of its divisors is an integer number (7216650).

Almost surely, 2^165185352 is an apocalyptic number.

165185352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165185352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230932800).

165185352 is an abundant number, since it is smaller than the sum of its proper divisors (296680248).

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

165185352 is a wasteful number, since it uses less digits than its factorization.

165185352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5033 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 165185352 is about 12852.4453704344. The cubic root of 165185352 is about 548.6859561382.

The spelling of 165185352 in words is "one hundred sixty-five million, one hundred eighty-five thousand, three hundred fifty-two".