8100144 has 60 divisors (see below), whose sum is σ = 24418576. Its totient is φ = 2491776.

The previous prime is 8100139. The next prime is 8100167. The reversal of 8100144 is 4410018.

8100144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8100144² = 131224665641472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292 + ... + 4035.

Almost surely, 2^8100144 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 8100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209288).

8100144 is an abundant number, since it is smaller than the sum of its proper divisors (16318432).

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

8100144 is a wasteful number, since it uses less digits than its factorization.

8100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8100144 is about 2846.0751922604. The cubic root of 8100144 is about 200.8310751206.

It can be divided in two parts, 810014 and 4, that added together give a palindrome (810018).

The spelling of 8100144 in words is "eight million, one hundred thousand, one hundred forty-four".