114117128 has 32 divisors (see below), whose sum is σ = 219663360. Its totient is φ = 55553280.

The previous prime is 114117127. The next prime is 114117131. The reversal of 114117128 is 821711411.

It is a junction number, because it is equal to n+sod(n) for n = 114117097 and 114117106.

It is not an unprimeable number, because it can be changed into a prime (114117127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83168 + ... + 84528.

It is an arithmetic number, because the mean of its divisors is an integer number (6864480).

Almost surely, 2^114117128 is an apocalyptic number.

It is an amenable number.

114117128 is a deficient number, since it is larger than the sum of its proper divisors (105546232).

114117128 is a wasteful number, since it uses less digits than its factorization.

114117128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

The product of its digits is 448, while the sum is 26.

The square root of 114117128 is about 10682.5618650210. The cubic root of 114117128 is about 485.0467634790.

Adding to 114117128 its reverse (821711411), we get a palindrome (935828539).

The spelling of 114117128 in words is "one hundred fourteen million, one hundred seventeen thousand, one hundred twenty-eight".