133023205024200 has 288 divisors, whose sum is σ = 464074650000000. Its totient is φ = 34106345602560.

The previous prime is 133023205024169. The next prime is 133023205024219. The reversal of 133023205024200 is 2420502320331.

133023205024200 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 232 + 0 + 5 + 0 + 2 + 420 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7144551 + ... + 17807049.

It is an arithmetic number, because the mean of its divisors is an integer number (1611370312500).

Almost surely, 2^{133023205024200} is an apocalyptic number.

133023205024200 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 133023205024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232037325000000).

133023205024200 is an abundant number, since it is smaller than the sum of its proper divisors (331051444975800).

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

133023205024200 is a wasteful number, since it uses less digits than its factorization.

133023205024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10662789 (or 10662777 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 133023205024200 its reverse (2420502320331), we get a palindrome (135443707344531).

The spelling of 133023205024200 in words is "one hundred thirty-three trillion, twenty-three billion, two hundred five million, twenty-four thousand, two hundred".