169128 has 56 divisors (see below), whose sum is σ = 491850. Its totient is φ = 54432.

The previous prime is 169111. The next prime is 169129. The reversal of 169128 is 821961.

It can be written as a sum of positive squares in only one way, i.e., 142884 + 26244 = 378^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (169129) by changing a digit.

169128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5818 + ... + 5846.

2¹⁶⁹¹²⁸ is an apocalyptic number.

169128 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 169128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245925).

169128 is an abundant number, since it is smaller than the sum of its proper divisors (322722).

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

169128 is an equidigital number, since it uses as much as digits as its factorization.

169128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 34 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 169128 is about 411.2517477167. The cubic root of 169128 is about 55.3017028623.

The spelling of 169128 in words is "one hundred sixty-nine thousand, one hundred twenty-eight".