133116005568 has 672 divisors, whose sum is σ = 461791604736. Its totient is φ = 33068445696.

The previous prime is 133116005479. The next prime is 133116005599. The reversal of 133116005568 is 865500611331.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 433602471 + ... + 433602777.

It is an arithmetic number, because the mean of its divisors is an integer number (687189888).

Almost surely, 2^133116005568 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 133116005568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230895802368).

133116005568 is an abundant number, since it is smaller than the sum of its proper divisors (328675599168).

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

133116005568 is a wasteful number, since it uses less digits than its factorization.

133116005568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

Adding to 133116005568 its reverse (865500611331), we get a palindrome (998616616899).

The spelling of 133116005568 in words is "one hundred thirty-three billion, one hundred sixteen million, five thousand, five hundred sixty-eight".