11134144 has 56 divisors (see below), whose sum is σ = 26151840. Its totient is φ = 4601856.

The previous prime is 11134129. The next prime is 11134153. The reversal of 11134144 is 44143111.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×11134144² = 247938325225472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12564 + ... + 13420.

Almost surely, 2^11134144 is an apocalyptic number.

11134144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13075920).

11134144 is an abundant number, since it is smaller than the sum of its proper divisors (15017696).

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

11134144 is an equidigital number, since it uses as much as digits as its factorization.

11134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 11134144 is about 3336.7864780354. The cubic root of 11134144 is about 223.2984000211.

Adding to 11134144 its reverse (44143111), we get a palindrome (55277255).

The spelling of 11134144 in words is "eleven million, one hundred thirty-four thousand, one hundred forty-four".