165084128 has 48 divisors (see below), whose sum is σ = 356030640. Its totient is φ = 74726400.

The previous prime is 165084119. The next prime is 165084131. The reversal of 165084128 is 821480561.

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 7 ways as a sum of consecutive naturals, for example, 98078 + ... + 99746.

It is an arithmetic number, because the mean of its divisors is an integer number (7417305).

Almost surely, 2^165084128 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 165084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178015320).

165084128 is an abundant number, since it is smaller than the sum of its proper divisors (190946512).

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

165084128 is a wasteful number, since it uses less digits than its factorization.

165084128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 165084128 is about 12848.5068393179. The cubic root of 165084128 is about 548.5738567394.

The spelling of 165084128 in words is "one hundred sixty-five million, eighty-four thousand, one hundred twenty-eight".