4134144 has 72 divisors (see below), whose sum is σ = 12591040. Its totient is φ = 1179648.

The previous prime is 4134133. The next prime is 4134161. The reversal of 4134144 is 4414314.

It is a super-2 number, since 2×4134144² = 34182293225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 a self number, because there is not a number n which added to its sum of digits gives 4134144.

It is a congruent number.

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, 4992 + ... + 5760.

Almost surely, 2^4134144 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 4134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295520).

4134144 is an abundant number, since it is smaller than the sum of its proper divisors (8456896).

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

4134144 is an equidigital number, since it uses as much as digits as its factorization.

4134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 781 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 4134144 is about 2033.2594522097. The cubic root of 4134144 is about 160.4951328577.

Adding to 4134144 its reverse (4414314), we get a palindrome (8548458).

It can be divided in two parts, 4134 and 144, that added together give a triangular number (4278 = T₉₂).

The spelling of 4134144 in words is "four million, one hundred thirty-four thousand, one hundred forty-four".