133054220446200 has 384 divisors, whose sum is σ = 462439520280000. Its totient is φ = 35160598609920.

The previous prime is 133054220446151. The next prime is 133054220446223. The reversal of 133054220446200 is 2644022450331.

133054220446200 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 4 + 2 + 2 + 0 + 446 + 200 = 666.

It is a super-2 number, since 2×133054220446200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3898550736 + ... + 3898584864.

Almost surely, 2^{133054220446200} is an apocalyptic number.

133054220446200 is a gapful number since it is divisible by the number (10) 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 133054220446200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231219760140000).

133054220446200 is an abundant number, since it is smaller than the sum of its proper divisors (329385299833800).

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

133054220446200 is a wasteful number, since it uses less digits than its factorization.

133054220446200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40656 (or 40641 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 133054220446200 its reverse (2644022450331), we get a palindrome (135698242896531).

The spelling of 133054220446200 in words is "one hundred thirty-three trillion, fifty-four billion, two hundred twenty million, four hundred forty-six thousand, two hundred".