133020536500544 has 336 divisors, whose sum is σ = 338178629712000. Its totient is φ = 50801364725760.

The previous prime is 133020536500487. The next prime is 133020536500589. The reversal of 133020536500544 is 445005635020331.

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 47 ways as a sum of consecutive naturals, for example, 1116137342 + ... + 1116256514.

It is an arithmetic number, because the mean of its divisors is an integer number (1006484017000).

Almost surely, 2^{133020536500544} is an apocalyptic number.

133020536500544 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 133020536500544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169089314856000).

133020536500544 is an abundant number, since it is smaller than the sum of its proper divisors (205158093211456).

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

133020536500544 is a wasteful number, since it uses less digits than its factorization.

133020536500544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119622 (or 119601 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 41.

The spelling of 133020536500544 in words is "one hundred thirty-three trillion, twenty billion, five hundred thirty-six million, five hundred thousand, five hundred forty-four".