114144144 has 40 divisors (see below), whose sum is σ = 299034432. Its totient is φ = 37511040.

The previous prime is 114144143. The next prime is 114144157. The reversal of 114144144 is 441441411.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (114144143) 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, 13339 + ... + 20154.

Almost surely, 2^114144144 is an apocalyptic number.

It is an amenable number.

114144144 is an abundant number, since it is smaller than the sum of its proper divisors (184890288).

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

114144144 is a wasteful number, since it uses less digits than its factorization.

114144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33575 (or 33569 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 114144144 is about 10683.8262808790. The cubic root of 114144144 is about 485.0850369899.

Adding to 114144144 its reverse (441441411), we get a palindrome (555585555).

The spelling of 114144144 in words is "one hundred fourteen million, one hundred forty-four thousand, one hundred forty-four".