165047168 has 128 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 67737600.

The previous prime is 165047161. The next prime is 165047171. The reversal of 165047168 is 861740561.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165047161) 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 15 ways as a sum of consecutive naturals, for example, 1299521 + ... + 1299647.

It is an arithmetic number, because the mean of its divisors is an integer number (3084480).

Almost surely, 2^165047168 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 165047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

165047168 is an abundant number, since it is smaller than the sum of its proper divisors (229766272).

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

165047168 is a wasteful number, since it uses less digits than its factorization.

165047168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 165047168 is about 12847.0684593801. The cubic root of 165047168 is about 548.5329143761.

The spelling of 165047168 in words is "one hundred sixty-five million, forty-seven thousand, one hundred sixty-eight".