114012144 has 120 divisors (see below), whose sum is σ = 337570160. Its totient is φ = 36840960.

The previous prime is 114012121. The next prime is 114012161. The reversal of 114012144 is 441210411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 726114 + ... + 726270.

Almost surely, 2^114012144 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 114012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168785080).

114012144 is an abundant number, since it is smaller than the sum of its proper divisors (223558016).

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

114012144 is a wasteful number, since it uses less digits than its factorization.

114012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114012144 is about 10677.6469317917. The cubic root of 114012144 is about 484.8979754929.

Adding to 114012144 its reverse (441210411), we get a palindrome (555222555).

The spelling of 114012144 in words is "one hundred fourteen million, twelve thousand, one hundred forty-four".