6133136809800 has 3072 divisors, whose sum is σ = 28510175232000. Its totient is φ = 1048578048000.

The previous prime is 6133136809777. The next prime is 6133136809817. The reversal of 6133136809800 is 89086313316.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6133136809800.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 14230015585 + ... + 14230016015.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656000).

Almost surely, 2^{6133136809800} is an apocalyptic number.

6133136809800 is a gapful number since it is divisible by the number (60) 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 6133136809800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14255087616000).

6133136809800 is an abundant number, since it is smaller than the sum of its proper divisors (22377038422200).

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

6133136809800 is a wasteful number, since it uses less digits than its factorization.

6133136809800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 6133136809800 in words is "six trillion, one hundred thirty-three billion, one hundred thirty-six million, eight hundred nine thousand, eight hundred".