8144144 has 20 divisors (see below), whose sum is σ = 16206924. Its totient is φ = 3961728.

The previous prime is 8144137. The next prime is 8144161. The reversal of 8144144 is 4414418.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3564544 + 4579600 = 1888^2 + 2140^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6287 + ... + 7470.

Almost surely, 2^8144144 is an apocalyptic number.

It is an amenable number.

8144144 is a deficient number, since it is larger than the sum of its proper divisors (8062780).

8144144 is a wasteful number, since it uses less digits than its factorization.

8144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13802 (or 13796 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 8144144 is about 2853.7946667551. The cubic root of 8144144 is about 201.1940569529.

It can be divided in two parts, 814414 and 4, that added together give a palindrome (814418).

The spelling of 8144144 in words is "eight million, one hundred forty-four thousand, one hundred forty-four".