133231143016608 has 768 divisors, whose sum is σ = 438725380423680. Its totient is φ = 34468393107456.

The previous prime is 133231143016567. The next prime is 133231143016627. The reversal of 133231143016608 is 806610341132331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 133231143016608.

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 127 ways as a sum of consecutive naturals, for example, 76878904510 + ... + 76878906242.

It is an arithmetic number, because the mean of its divisors is an integer number (571257005760).

Almost surely, 2^{133231143016608} 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 133231143016608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219362690211840).

133231143016608 is an abundant number, since it is smaller than the sum of its proper divisors (305494237407072).

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

133231143016608 is a wasteful number, since it uses less digits than its factorization.

133231143016608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

Adding to 133231143016608 its reverse (806610341132331), we get a palindrome (939841484148939).

The spelling of 133231143016608 in words is "one hundred thirty-three trillion, two hundred thirty-one billion, one hundred forty-three million, sixteen thousand, six hundred eight".