133311345040224 has 192 divisors, whose sum is σ = 424034790681600. Its totient is φ = 40499648856576.

The previous prime is 133311345040217. The next prime is 133311345040309. The reversal of 133311345040224 is 422040543113331.

133311345040224 is a `hidden beast` number, since 1 + 3 + 3 + 311 + 34 + 50 + 40 + 224 = 666.

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 (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74232214 + ... + 76006869.

It is an arithmetic number, because the mean of its divisors is an integer number (2208514534800).

Almost surely, 2^{133311345040224} is an apocalyptic number.

It is an amenable number.

133311345040224 is an abundant number, since it is smaller than the sum of its proper divisors (290723445641376).

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

133311345040224 is a wasteful number, since it uses less digits than its factorization.

133311345040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150239194 (or 150239180 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 133311345040224 its reverse (422040543113331), we get a palindrome (555351888153555).

The spelling of 133311345040224 in words is "one hundred thirty-three trillion, three hundred eleven billion, three hundred forty-five million, forty thousand, two hundred twenty-four".