114688128 has 32 divisors (see below), whose sum is σ = 304641360. Its totient is φ = 38229248.

The previous prime is 114688117. The next prime is 114688129. The reversal of 114688128 is 821886411.

It is a tau number, because it is divible by the number of its divisors (32).

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 (114688129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 148950 + ... + 149717.

Almost surely, 2^114688128 is an apocalyptic number.

It is an amenable number.

114688128 is an abundant number, since it is smaller than the sum of its proper divisors (189953232).

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

114688128 is an equidigital number, since it uses as much as digits as its factorization.

114688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298684 (or 298672 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 114688128 is about 10709.2543157775. The cubic root of 114688128 is about 485.8544162494.

The spelling of 114688128 in words is "one hundred fourteen million, six hundred eighty-eight thousand, one hundred twenty-eight".