164128 has 24 divisors (see below), whose sum is σ = 338688. Its totient is φ = 78144.

The previous prime is 164117. The next prime is 164147. The reversal of 164128 is 821461.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 164099 and 164108.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2¹⁶⁴¹²⁸ 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 164128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

164128 is an abundant number, since it is smaller than the sum of its proper divisors (174560).

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

164128 is a wasteful number, since it uses less digits than its factorization.

164128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 164128 is about 405.1271405374. The cubic root of 164128 is about 54.7512735746.

Adding to 164128 its reverse (821461), we get a palindrome (985589).

It can be divided in two parts, 164 and 128, that added together give a palindrome (292).

The spelling of 164128 in words is "one hundred sixty-four thousand, one hundred twenty-eight".