114032142128 has 40 divisors (see below), whose sum is σ = 230774887200. Its totient is φ = 54515510784.

The previous prime is 114032142127. The next prime is 114032142137. The reversal of 114032142128 is 821241230411.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 114032142128.

It is not an unprimeable number, because it can be changed into a prime (114032142127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145213 + ... + 1240796.

It is an arithmetic number, because the mean of its divisors is an integer number (5769372180).

Almost surely, 2^114032142128 is an apocalyptic number.

It is an amenable number.

114032142128 is an abundant number, since it is smaller than the sum of its proper divisors (116742745072).

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

114032142128 is a wasteful number, since it uses less digits than its factorization.

114032142128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386149 (or 2386143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 114032142128 its reverse (821241230411), we get a palindrome (935273372539).

The spelling of 114032142128 in words is "one hundred fourteen billion, thirty-two million, one hundred forty-two thousand, one hundred twenty-eight".