114322144 has 48 divisors (see below), whose sum is σ = 248699808. Its totient is φ = 51453952.

The previous prime is 114322139. The next prime is 114322157. The reversal of 114322144 is 441223411.

114322144 = T₃₅₇ + T₃₅₈ + ... + T₉₀₀.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7944 + ... + 17080.

It is an arithmetic number, because the mean of its divisors is an integer number (5181246).

Almost surely, 2^114322144 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 114322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124349904).

114322144 is an abundant number, since it is smaller than the sum of its proper divisors (134377664).

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

114322144 is a wasteful number, since it uses less digits than its factorization.

114322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9179 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 114322144 is about 10692.1533846087. The cubic root of 114322144 is about 485.3370583648.

Adding to 114322144 its reverse (441223411), we get a palindrome (555545555).

The spelling of 114322144 in words is "one hundred fourteen million, three hundred twenty-two thousand, one hundred forty-four".