114045144 has 64 divisors (see below), whose sum is σ = 301363200. Its totient is φ = 35865216.

The previous prime is 114045133. The next prime is 114045157. The reversal of 114045144 is 441540411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174322 + ... + 174974.

It is an arithmetic number, because the mean of its divisors is an integer number (4708800).

Almost surely, 2^114045144 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 114045144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150681600).

114045144 is an abundant number, since it is smaller than the sum of its proper divisors (187318056).

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

114045144 is a wasteful number, since it uses less digits than its factorization.

114045144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 114045144 is about 10679.1921042746. The cubic root of 114045144 is about 484.9447543974.

Adding to 114045144 its reverse (441540411), we get a palindrome (555585555).

The spelling of 114045144 in words is "one hundred fourteen million, forty-five thousand, one hundred forty-four".