8131144 has 64 divisors (see below), whose sum is σ = 18662400. Its totient is φ = 3246144.

The previous prime is 8131139. The next prime is 8131147. The reversal of 8131144 is 4411318.

It is a super-2 number, since 2×8131144² = 132231005497472, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75939 + ... + 76045.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^8131144 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 8131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331200).

8131144 is an abundant number, since it is smaller than the sum of its proper divisors (10531256).

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

8131144 is a wasteful number, since it uses less digits than its factorization.

8131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 8131144 is about 2851.5160879785. The cubic root of 8131144 is about 201.0869486780.

The spelling of 8131144 in words is "eight million, one hundred thirty-one thousand, one hundred forty-four".