165796128 has 144 divisors (see below), whose sum is σ = 509090400. Its totient is φ = 51010560.

The previous prime is 165796093. The next prime is 165796129. The reversal of 165796128 is 821697561.

165796128 is a `hidden beast` number, since 16 + 579 + 61 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (165796129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223983 + ... + 224721.

It is an arithmetic number, because the mean of its divisors is an integer number (3535350).

Almost surely, 2^165796128 is an apocalyptic number.

165796128 is a gapful number since it is divisible by the number (18) 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 165796128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254545200).

165796128 is an abundant number, since it is smaller than the sum of its proper divisors (343294272).

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

165796128 is a wasteful number, since it uses less digits than its factorization.

165796128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 165796128 is about 12876.1845280347. The cubic root of 165796128 is about 549.3613832935.

The spelling of 165796128 in words is "one hundred sixty-five million, seven hundred ninety-six thousand, one hundred twenty-eight".