113643144 has 96 divisors (see below), whose sum is σ = 318722040. Its totient is φ = 36556800.

The previous prime is 113643143. The next prime is 113643151. The reversal of 113643144 is 441346311.

113643144 is a `hidden beast` number, since 1 + 1 + 3 + 643 + 14 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83503044 + 30140100 = 9138^2 + 5490^2 .

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 (113643143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404284 + ... + 404564.

Almost surely, 2^113643144 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 113643144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159361020).

113643144 is an abundant number, since it is smaller than the sum of its proper divisors (205078896).

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

113643144 is a wasteful number, since it uses less digits than its factorization.

113643144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 464 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 113643144 is about 10660.3538402813. The cubic root of 113643144 is about 484.3742864450.

Adding to 113643144 its reverse (441346311), we get a palindrome (554989455).

The spelling of 113643144 in words is "one hundred thirteen million, six hundred forty-three thousand, one hundred forty-four".