165356288 has 36 divisors (see below), whose sum is σ = 333519480. Its totient is φ = 81813504.

The previous prime is 165356281. The next prime is 165356311. The reversal of 165356288 is 882653561.

It is a super-2 number, since 2×165356288² = 54685403962277888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (165356281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21503 + ... + 28161.

It is an arithmetic number, because the mean of its divisors is an integer number (9264430).

Almost surely, 2^165356288 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 165356288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166759740).

165356288 is an abundant number, since it is smaller than the sum of its proper divisors (168163192).

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

165356288 is an frugal number, since it uses more digits than its factorization.

165356288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6772 (or 6758 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The square root of 165356288 is about 12859.0935916961. The cubic root of 165356288 is about 548.8751534011.

The spelling of 165356288 in words is "one hundred sixty-five million, three hundred fifty-six thousand, two hundred eighty-eight".