8132205900 has 288 divisors, whose sum is σ = 29293125120. Its totient is φ = 1696020480.

The previous prime is 8132205899. The next prime is 8132205923. The reversal of 8132205900 is 95022318.

It is a happy number.

It is a super-2 number, since 2×8132205900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 2428027 + ... + 2431373.

It is an arithmetic number, because the mean of its divisors is an integer number (101712240).

Almost surely, 2^8132205900 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 8132205900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14646562560).

8132205900 is an abundant number, since it is smaller than the sum of its proper divisors (21160919220).

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

8132205900 is a wasteful number, since it uses less digits than its factorization.

8132205900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 8132205900 is about 90178.7441695658. The cubic root of 8132205900 is about 2010.9570205619.

The spelling of 8132205900 in words is "eight billion, one hundred thirty-two million, two hundred five thousand, nine hundred".