114128 has 20 divisors (see below), whose sum is σ = 252960. Its totient is φ = 48864.

The previous prime is 114113. The next prime is 114143. The reversal of 114128 is 821411.

It is an interprime number because it is at equal distance from previous prime (114113) and next prime (114143).

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

It is a congruent number.

It is an unprimeable number.

114128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 398 + ... + 621.

It is an arithmetic number, because the mean of its divisors is an integer number (12648).

2¹¹⁴¹²⁸ is an apocalyptic number.

It is an amenable number.

114128 is an abundant number, since it is smaller than the sum of its proper divisors (138832).

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

114128 is a wasteful number, since it uses less digits than its factorization.

114128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 114128 is about 337.8283587859. The cubic root of 114128 is about 48.5062166545.

Adding to 114128 its reverse (821411), we get a palindrome (935539).

It can be divided in two parts, 114 and 128, that added together give a palindrome (242).

The spelling of 114128 in words is "one hundred fourteen thousand, one hundred twenty-eight".