133506329824 has 72 divisors (see below), whose sum is σ = 312864036408. Its totient is φ = 55886342400.

The previous prime is 133506329821. The next prime is 133506329843. The reversal of 133506329824 is 428923605331.

133506329824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133506329821) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 922627 + ... + 1057474.

It is an arithmetic number, because the mean of its divisors is an integer number (4345333839).

Almost surely, 2^133506329824 is an apocalyptic number.

133506329824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133506329824 is an abundant number, since it is smaller than the sum of its proper divisors (179357706584).

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

133506329824 is a wasteful number, since it uses less digits than its factorization.

133506329824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980168 (or 1980153 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 133506329824 in words is "one hundred thirty-three billion, five hundred six million, three hundred twenty-nine thousand, eight hundred twenty-four".