116128 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 54720.

The previous prime is 116113. The next prime is 116131. The reversal of 116128 is 821611.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 513 + ... + 703.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹¹⁶¹²⁸ 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 116128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

116128 is an abundant number, since it is smaller than the sum of its proper divisors (125792).

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

116128 is a wasteful number, since it uses less digits than its factorization.

116128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 96, while the sum is 19.

The square root of 116128 is about 340.7755859800. The cubic root of 116128 is about 48.7879214037.

Adding to 116128 its reverse (821611), we get a palindrome (937739).

It can be divided in two parts, 1 and 16128, that added together give a square (16129 = 127²).

The spelling of 116128 in words is "one hundred sixteen thousand, one hundred twenty-eight".