8134518080 has 224 divisors, whose sum is σ = 21963705120. Its totient is φ = 2848849920.

The previous prime is 8134518059. The next prime is 8134518149. The reversal of 8134518080 is 808154318.

It can be written as a sum of positive squares in 16 ways, for example, as 2189491264 + 5945026816 = 46792^2 + 77104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6310076 + ... + 6311364.

It is an arithmetic number, because the mean of its divisors is an integer number (98052255).

Almost surely, 2^8134518080 is an apocalyptic number.

8134518080 is a gapful number since it is divisible by the number (80) 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 8134518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981852560).

8134518080 is an abundant number, since it is smaller than the sum of its proper divisors (13829187040).

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

8134518080 is a wasteful number, since it uses less digits than its factorization.

8134518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 8134518080 is about 90191.5632418022. The cubic root of 8134518080 is about 2011.1475901752.

The spelling of 8134518080 in words is "eight billion, one hundred thirty-four million, five hundred eighteen thousand, eighty".