117128 has 20 divisors (see below), whose sum is σ = 241575. Its totient is φ = 53240.

The previous prime is 117127. The next prime is 117133. The reversal of 117128 is 821711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 58564 = 242^2 + 242^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=242.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (117127) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 10643 + ... + 10653.

117128 is a Friedman number, since it can be written as 11^(7-2-1)*8, using all its digits and the basic arithmetic operations.

2¹¹⁷¹²⁸ 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 117128

117128 is an abundant number, since it is smaller than the sum of its proper divisors (124447).

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

117128 is an frugal number, since it uses more digits than its factorization.

117128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 13 counting only the distinct ones).

The product of its digits is 112, while the sum is 20.

The square root of 117128 is about 342.2396820943. The cubic root of 117128 is about 48.9275619925.

Adding to 117128 its reverse (821711), we get a palindrome (938839).

The spelling of 117128 in words is "one hundred seventeen thousand, one hundred twenty-eight".