133357148368224 has 384 divisors, whose sum is σ = 387209648996352. Its totient is φ = 39851547402240.

The previous prime is 133357148368207. The next prime is 133357148368237. The reversal of 133357148368224 is 422863841753331.

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 63 ways as a sum of consecutive naturals, for example, 39843783319 + ... + 39843786665.

It is an arithmetic number, because the mean of its divisors is an integer number (1008358460928).

Almost surely, 2^{133357148368224} 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 133357148368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193604824498176).

133357148368224 is an abundant number, since it is smaller than the sum of its proper divisors (253852500628128).

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

133357148368224 is a wasteful number, since it uses less digits than its factorization.

133357148368224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4890 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 60.

The spelling of 133357148368224 in words is "one hundred thirty-three trillion, three hundred fifty-seven billion, one hundred forty-eight million, three hundred sixty-eight thousand, two hundred twenty-four".