165506544 has 160 divisors (see below), whose sum is σ = 547584000. Its totient is φ = 46884096.

The previous prime is 165506533. The next prime is 165506569. The reversal of 165506544 is 445605561.

165506544 is a `hidden beast` number, since 1 + 6 + 550 + 65 + 44 = 666.

165506544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165506544² = 54784832213647872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 165506499 and 165506508.

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, 692377 + ... + 692615.

It is an arithmetic number, because the mean of its divisors is an integer number (3422400).

Almost surely, 2^165506544 is an apocalyptic number.

165506544 is a gapful number since it is divisible by the number (14) 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 165506544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273792000).

165506544 is an abundant number, since it is smaller than the sum of its proper divisors (382077456).

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

165506544 is a wasteful number, since it uses less digits than its factorization.

165506544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 165506544 is about 12864.9346675372. The cubic root of 165506544 is about 549.0413537484.

The spelling of 165506544 in words is "one hundred sixty-five million, five hundred six thousand, five hundred forty-four".