114252688 has 40 divisors (see below), whose sum is σ = 245118240. Its totient is φ = 51152640.

The previous prime is 114252673. The next prime is 114252689. The reversal of 114252688 is 886252411.

It is not an unprimeable number, because it can be changed into a prime (114252689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6948 + ... + 16636.

It is an arithmetic number, because the mean of its divisors is an integer number (6127956).

Almost surely, 2^114252688 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 114252688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122559120).

114252688 is an abundant number, since it is smaller than the sum of its proper divisors (130865552).

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

114252688 is a wasteful number, since it uses less digits than its factorization.

114252688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775 (or 9769 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 114252688 is about 10688.9049018129. The cubic root of 114252688 is about 485.2387502023.

The spelling of 114252688 in words is "one hundred fourteen million, two hundred fifty-two thousand, six hundred eighty-eight".