133302401432200 has 768 divisors, whose sum is σ = 418451257405440. Its totient is φ = 38138964480000.

The previous prime is 133302401432177. The next prime is 133302401432227. The reversal of 133302401432200 is 2234104203331.

It is a happy number.

It is a super-2 number, since 2×133302401432200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 191 ways as a sum of consecutive naturals, for example, 70122251250 + ... + 70122253150.

It is an arithmetic number, because the mean of its divisors is an integer number (544858408080).

Almost surely, 2^{133302401432200} is an apocalyptic number.

133302401432200 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 133302401432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209225628702720).

133302401432200 is an abundant number, since it is smaller than the sum of its proper divisors (285148855973240).

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

133302401432200 is a wasteful number, since it uses less digits than its factorization.

133302401432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 133302401432200 its reverse (2234104203331), we get a palindrome (135536505635531).

The spelling of 133302401432200 in words is "one hundred thirty-three trillion, three hundred two billion, four hundred one million, four hundred thirty-two thousand, two hundred".