8013134304 has 480 divisors, whose sum is σ = 28328287680. Its totient is φ = 2173796352.

The previous prime is 8013134303. The next prime is 8013134317. The reversal of 8013134304 is 4034313108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8013134303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51038994 + ... + 51039150.

It is an arithmetic number, because the mean of its divisors is an integer number (59017266).

Almost surely, 2^8013134304 is an apocalyptic number.

8013134304 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 8013134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164143840).

8013134304 is an abundant number, since it is smaller than the sum of its proper divisors (20315153376).

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

8013134304 is a wasteful number, since it uses less digits than its factorization.

8013134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8013134304 is about 89516.1119799112. Note that the first 3 decimals coincide. The cubic root of 8013134304 is about 2001.0939268862.

The spelling of 8013134304 in words is "eight billion, thirteen million, one hundred thirty-four thousand, three hundred four".