133412004300224 has 224 divisors, whose sum is σ = 299683575871680. Its totient is φ = 58504718942208.

The previous prime is 133412004300167. The next prime is 133412004300241. The reversal of 133412004300224 is 422003400214331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8912545412 + ... + 8912560380.

It is an arithmetic number, because the mean of its divisors is an integer number (1337873106570).

Almost surely, 2^{133412004300224} 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 133412004300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149841787935840).

133412004300224 is an abundant number, since it is smaller than the sum of its proper divisors (166271571571456).

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

133412004300224 is a wasteful number, since it uses less digits than its factorization.

133412004300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21807 (or 21797 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 133412004300224 its reverse (422003400214331), we get a palindrome (555415404514555).

The spelling of 133412004300224 in words is "one hundred thirty-three trillion, four hundred twelve billion, four million, three hundred thousand, two hundred twenty-four".