11142144 has 176 divisors, whose sum is σ = 36682240. Its totient is φ = 3317760.

The previous prime is 11142107. The next prime is 11142181. The reversal of 11142144 is 44124111.

It is an interprime number because it is at equal distance from previous prime (11142107) and next prime (11142181).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359409 + ... + 359439.

Almost surely, 2^11142144 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 11142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18341120).

11142144 is an abundant number, since it is smaller than the sum of its proper divisors (25540096).

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

11142144 is a wasteful number, since it uses less digits than its factorization.

11142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 49 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 11142144 is about 3337.9850209370. The cubic root of 11142144 is about 223.3518679699.

Adding to 11142144 its reverse (44124111), we get a palindrome (55266255).

The spelling of 11142144 in words is "eleven million, one hundred forty-two thousand, one hundred forty-four".