114302144 has 56 divisors (see below), whose sum is σ = 248869200. Its totient is φ = 51655680.

The previous prime is 114302143. The next prime is 114302171. The reversal of 114302144 is 441203411.

It is not an unprimeable number, because it can be changed into a prime (114302143) 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, 160862 + ... + 161570.

Almost surely, 2^114302144 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 114302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124434600).

114302144 is an abundant number, since it is smaller than the sum of its proper divisors (134567056).

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

114302144 is a wasteful number, since it uses less digits than its factorization.

114302144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114302144 is about 10691.2180784043. The cubic root of 114302144 is about 485.3087544074.

Adding to 114302144 its reverse (441203411), we get a palindrome (555505555).

The spelling of 114302144 in words is "one hundred fourteen million, three hundred two thousand, one hundred forty-four".