8153281800 has 168 divisors, whose sum is σ = 28422076890. Its totient is φ = 2174169600.

The previous prime is 8153281793. The next prime is 8153281831. The reversal of 8153281800 is 81823518.

It can be written as a sum of positive squares in 3 ways, for example, as 7814206404 + 339075396 = 88398^2 + 18414^2 .

It is a super-2 number, since 2×8153281800² (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 117840 + ... + 173760.

Almost surely, 2^8153281800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8153281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14211038445).

8153281800 is an abundant number, since it is smaller than the sum of its proper divisors (20268795090).

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

8153281800 is a wasteful number, since it uses less digits than its factorization.

8153281800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55955 (or 55931 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8153281800 is about 90295.5248060501. The cubic root of 8153281800 is about 2012.6927598502.

The spelling of 8153281800 in words is "eight billion, one hundred fifty-three million, two hundred eighty-one thousand, eight hundred".