165128 has 8 divisors (see below), whose sum is σ = 309630. Its totient is φ = 82560.

The previous prime is 165103. The next prime is 165133. The reversal of 165128 is 821561.

It can be written as a sum of positive squares in only one way, i.e., 158404 + 6724 = 398^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10313 + ... + 10328.

2¹⁶⁵¹²⁸ is an apocalyptic number.

It is an amenable number.

165128 is a deficient number, since it is larger than the sum of its proper divisors (144502).

165128 is a wasteful number, since it uses less digits than its factorization.

165128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20647 (or 20643 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 165128 is about 406.3594467956. The cubic root of 165128 is about 54.8622447925.

Adding to 165128 its reverse (821561), we get a palindrome (986689).

The spelling of 165128 in words is "one hundred sixty-five thousand, one hundred twenty-eight".