165309120 has 336 divisors, whose sum is σ = 627095520. Its totient is φ = 40974336.

The previous prime is 165309113. The next prime is 165309121. The reversal of 165309120 is 21903561.

165309120 is a `hidden beast` number, since 1 + 6 + 530 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (165309121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3119014 + ... + 3119066.

Almost surely, 2^165309120 is an apocalyptic number.

165309120 is a gapful number since it is divisible by the number (10) 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 165309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313547760).

165309120 is an abundant number, since it is smaller than the sum of its proper divisors (461786400).

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

165309120 is a wasteful number, since it uses less digits than its factorization.

165309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 165309120 is about 12857.2594280430. The cubic root of 165309120 is about 548.8229594273.

The spelling of 165309120 in words is "one hundred sixty-five million, three hundred nine thousand, one hundred twenty".