8181144 has 72 divisors (see below), whose sum is σ = 23046660. Its totient is φ = 2621376.

The previous prime is 8181139. The next prime is 8181167. The reversal of 8181144 is 4411818.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8181144² = 133862234297472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 98527 + ... + 98609.

Almost surely, 2^8181144 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 8181144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11523330).

8181144 is an abundant number, since it is smaller than the sum of its proper divisors (14865516).

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

8181144 is a wasteful number, since it uses less digits than its factorization.

8181144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 125 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 8181144 is about 2860.2699173330. The cubic root of 8181144 is about 201.4982810740.

It can be divided in two parts, 81 and 81144, that added together give a square (81225 = 285²).

The spelling of 8181144 in words is "eight million, one hundred eighty-one thousand, one hundred forty-four".