133003047873024 has 1600 divisors, whose sum is σ = 473162486079360. Its totient is φ = 37331817062400.

The previous prime is 133003047873001. The next prime is 133003047873043. The reversal of 133003047873024 is 420378740300331.

133003047873024 is a `hidden beast` number, since 1 + 3 + 30 + 0 + 304 + 7 + 8 + 7 + 302 + 4 = 666.

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 159 ways as a sum of consecutive naturals, for example, 163998825579 + ... + 163998826389.

Almost surely, 2^{133003047873024} is an apocalyptic number.

133003047873024 is a gapful number since it is divisible by the number (14) 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 133003047873024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236581243039680).

133003047873024 is an abundant number, since it is smaller than the sum of its proper divisors (340159438206336).

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

133003047873024 is an frugal number, since it uses more digits than its factorization.

133003047873024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 133003047873024 in words is "one hundred thirty-three trillion, three billion, forty-seven million, eight hundred seventy-three thousand, twenty-four".