133806699459552 has 384 divisors, whose sum is σ = 411720310665216. Its totient is φ = 37259514519552.

The previous prime is 133806699459541. The next prime is 133806699459581. The reversal of 133806699459552 is 255954996608331.

133806699459552 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 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, 7473973033 + ... + 7473990935.

It is an arithmetic number, because the mean of its divisors is an integer number (1072188309024).

Almost surely, 2^{133806699459552} is an apocalyptic number.

133806699459552 is a gapful number since it is divisible by the number (12) 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 133806699459552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205860155332608).

133806699459552 is an abundant number, since it is smaller than the sum of its proper divisors (277913611205664).

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

133806699459552 is a wasteful number, since it uses less digits than its factorization.

133806699459552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19362 (or 19354 counting only the distinct ones).

The product of its (nonzero) digits is 1889568000, while the sum is 75.

The spelling of 133806699459552 in words is "one hundred thirty-three trillion, eight hundred six billion, six hundred ninety-nine million, four hundred fifty-nine thousand, five hundred fifty-two".