8225134200 has 192 divisors, whose sum is σ = 29822496000. Its totient is φ = 2077902720.

The previous prime is 8225134187. The next prime is 8225134201. The reversal of 8225134200 is 24315228.

8225134200 is a `hidden beast` number, since 8 + 225 + 13 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8225134201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62517 + ... + 142683.

It is an arithmetic number, because the mean of its divisors is an integer number (155325500).

Almost surely, 2^8225134200 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 8225134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911248000).

8225134200 is an abundant number, since it is smaller than the sum of its proper divisors (21597361800).

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

8225134200 is a wasteful number, since it uses less digits than its factorization.

8225134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80211 (or 80196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8225134200 is about 90692.5256016172. The cubic root of 8225134200 is about 2018.5878932540.

Adding to 8225134200 its reverse (24315228), we get a palindrome (8249449428).

The spelling of 8225134200 in words is "eight billion, two hundred twenty-five million, one hundred thirty-four thousand, two hundred".