118128 has 40 divisors (see below), whose sum is σ = 321408. Its totient is φ = 37312.

The previous prime is 118127. The next prime is 118147. The reversal of 118128 is 821811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1051 + ... + 1157.

2¹¹⁸¹²⁸ 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 118128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704).

118128 is an abundant number, since it is smaller than the sum of its proper divisors (203280).

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

118128 is a wasteful number, since it uses less digits than its factorization.

118128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 128, while the sum is 21.

The square root of 118128 is about 343.6975414518. The cubic root of 118128 is about 49.0664100228.

Adding to 118128 its reverse (821811), we get a palindrome (939939).

The spelling of 118128 in words is "one hundred eighteen thousand, one hundred twenty-eight".