8191134720 has 220 divisors, whose sum is σ = 29353881744. Its totient is φ = 2184192000.

The previous prime is 8191134713. The next prime is 8191134733. The reversal of 8191134720 is 274311918.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 404845 + ... + 424595.

Almost surely, 2^8191134720 is an apocalyptic number.

8191134720 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 8191134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676940872).

8191134720 is an abundant number, since it is smaller than the sum of its proper divisors (21162747024).

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

8191134720 is a wasteful number, since it uses less digits than its factorization.

8191134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19788 (or 19761 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8191134720 is about 90504.8878238076. The cubic root of 8191134720 is about 2015.8027017802.

The spelling of 8191134720 in words is "eight billion, one hundred ninety-one million, one hundred thirty-four thousand, seven hundred twenty".