8138813004 has 144 divisors (see below), whose sum is σ = 24189285120. Its totient is φ = 2259342720.

The previous prime is 8138812987. The next prime is 8138813017. The reversal of 8138813004 is 4003188318.

It is a super-2 number, since 2×8138813004² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8138813004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272687 + ... + 1279065.

Almost surely, 2^8138813004 is an apocalyptic number.

8138813004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8138813004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12094642560).

8138813004 is an abundant number, since it is smaller than the sum of its proper divisors (16050472116).

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

8138813004 is a wasteful number, since it uses less digits than its factorization.

8138813004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8138813004 is about 90215.3701095329. The cubic root of 8138813004 is about 2011.5014815063.

The spelling of 8138813004 in words is "eight billion, one hundred thirty-eight million, eight hundred thirteen thousand, four".