8135814960 has 960 divisors, whose sum is σ = 36026444160. Its totient is φ = 1693052928.

The previous prime is 8135814949. The next prime is 8135814983. The reversal of 8135814960 is 694185318.

8135814960 is a `hidden beast` number, since 8 + 1 + 3 + 581 + 4 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111449484 + ... + 111449556.

It is an arithmetic number, because the mean of its divisors is an integer number (37527546).

Almost surely, 2^8135814960 is an apocalyptic number.

8135814960 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 8135814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013222080).

8135814960 is an abundant number, since it is smaller than the sum of its proper divisors (27890629200).

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

8135814960 is a wasteful number, since it uses less digits than its factorization.

8135814960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8135814960 is about 90198.7525412630. The cubic root of 8135814960 is about 2011.2544630702.

The spelling of 8135814960 in words is "eight billion, one hundred thirty-five million, eight hundred fourteen thousand, nine hundred sixty".