6138227200 has 120 divisors (see below), whose sum is σ = 17380753632. Its totient is φ = 2104504320.

The previous prime is 6138227159. The next prime is 6138227209. The reversal of 6138227200 is 27228316.

It is not an unprimeable number, because it can be changed into a prime (6138227209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 55347 + ... + 123853.

Almost surely, 2^6138227200 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 6138227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690376816).

6138227200 is an abundant number, since it is smaller than the sum of its proper divisors (11242526432).

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

6138227200 is an equidigital number, since it uses as much as digits as its factorization.

6138227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68542 (or 68521 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 6138227200 is about 78346.8391193927. The cubic root of 6138227200 is about 1830.9689793081.

The spelling of 6138227200 in words is "six billion, one hundred thirty-eight million, two hundred twenty-seven thousand, two hundred".