111366144 has 208 divisors, whose sum is σ = 353851200. Its totient is φ = 34504704.

The previous prime is 111366139. The next prime is 111366191. The reversal of 111366144 is 441663111.

111366144 is a `hidden beast` number, since 1 + 11 + 36 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 2101222 + ... + 2101274.

Almost surely, 2^111366144 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 111366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176925600).

111366144 is an abundant number, since it is smaller than the sum of its proper divisors (242485056).

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

111366144 is an equidigital number, since it uses as much as digits as its factorization.

111366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 111366144 is about 10553.0158722519. The cubic root of 111366144 is about 481.1173967824.

The spelling of 111366144 in words is "one hundred eleven million, three hundred sixty-six thousand, one hundred forty-four".