133110405544544 has 288 divisors, whose sum is σ = 281923765038720. Its totient is φ = 61816614912000.

The previous prime is 133110405544517. The next prime is 133110405544579. The reversal of 133110405544544 is 445445504011331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133110405544495 and 133110405544504.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29184476024 + ... + 29184480584.

It is an arithmetic number, because the mean of its divisors is an integer number (978901961940).

Almost surely, 2^{133110405544544} 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 133110405544544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140961882519360).

133110405544544 is an abundant number, since it is smaller than the sum of its proper divisors (148813359494176).

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

133110405544544 is a wasteful number, since it uses less digits than its factorization.

133110405544544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

Adding to 133110405544544 its reverse (445445504011331), we get a palindrome (578555909555875).

The spelling of 133110405544544 in words is "one hundred thirty-three trillion, one hundred ten billion, four hundred five million, five hundred forty-four thousand, five hundred forty-four".