8345134080 has 704 divisors, whose sum is σ = 32471642880. Its totient is φ = 2024275968.

The previous prime is 8345134079. The next prime is 8345134087. The reversal of 8345134080 is 804315438.

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

It is not an unprimeable number, because it can be changed into a prime (8345134087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124554207 + ... + 124554273.

Almost surely, 2^8345134080 is an apocalyptic number.

8345134080 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 8345134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235821440).

8345134080 is an abundant number, since it is smaller than the sum of its proper divisors (24126508800).

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

8345134080 is a wasteful number, since it uses less digits than its factorization.

8345134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8345134080 is about 91351.7054028002. The cubic root of 8345134080 is about 2028.3572074823.

The spelling of 8345134080 in words is "eight billion, three hundred forty-five million, one hundred thirty-four thousand, eighty".