8143290144 has 144 divisors (see below), whose sum is σ = 25391620800. Its totient is φ = 2455073280.

The previous prime is 8143290131. The next prime is 8143290167. The reversal of 8143290144 is 4410923418.

It is a happy number.

8143290144 is a `hidden beast` number, since 81 + 432 + 9 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8143290099 and 8143290108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623974 + ... + 636890.

It is an arithmetic number, because the mean of its divisors is an integer number (176330700).

Almost surely, 2^8143290144 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 8143290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12695810400).

8143290144 is an abundant number, since it is smaller than the sum of its proper divisors (17248330656).

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

8143290144 is a wasteful number, since it uses less digits than its factorization.

8143290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13143 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8143290144 is about 90240.1803189688. The cubic root of 8143290144 is about 2011.8702544831.

The spelling of 8143290144 in words is "eight billion, one hundred forty-three million, two hundred ninety thousand, one hundred forty-four".