11200144 has 20 divisors (see below), whose sum is σ = 22977324. Its totient is φ = 5270528.

The previous prime is 11200129. The next prime is 11200151. The reversal of 11200144 is 44100211.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 5382400 = 2412^2 + 2320^2 .

11200144 is a modest number, since divided by 144 gives 112 as remainder.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 20317 + ... + 20860.

Almost surely, 2^11200144 is an apocalyptic number.

It is an amenable number.

11200144 is an abundant number, since it is smaller than the sum of its proper divisors (11777180).

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

11200144 is a wasteful number, since it uses less digits than its factorization.

11200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41202 (or 41196 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11200144 is about 3346.6616201821. The cubic root of 11200144 is about 223.7387472884.

Adding to 11200144 its reverse (44100211), we get a palindrome (55300355).

The spelling of 11200144 in words is "eleven million, two hundred thousand, one hundred forty-four".