8141144 has 32 divisors (see below), whose sum is σ = 16899840. Its totient is φ = 3645600.

The previous prime is 8141143. The next prime is 8141153. The reversal of 8141144 is 4411418.

8141144 = 303² + 304² + ... + 373².

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8141143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5597 + ... + 6899.

It is an arithmetic number, because the mean of its divisors is an integer number (528120).

Almost surely, 2^8141144 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 8141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449920).

8141144 is an abundant number, since it is smaller than the sum of its proper divisors (8758696).

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

8141144 is a wasteful number, since it uses less digits than its factorization.

8141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1387 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 8141144 is about 2853.2690023901. The cubic root of 8141144 is about 201.1693497809.

The spelling of 8141144 in words is "eight million, one hundred forty-one thousand, one hundred forty-four".