133698817245248 has 224 divisors, whose sum is σ = 287805439526400. Its totient is φ = 61393169350656.

The previous prime is 133698817245241. The next prime is 133698817245269. The reversal of 133698817245248 is 842542718896331.

It is not an unprimeable number, because it can be changed into a prime (133698817245241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29046014915 + ... + 29046019517.

Almost surely, 2^{133698817245248} 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 133698817245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143902719763200).

133698817245248 is an abundant number, since it is smaller than the sum of its proper divisors (154106622281152).

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

133698817245248 is a wasteful number, since it uses less digits than its factorization.

133698817245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597 (or 8587 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 71.

The spelling of 133698817245248 in words is "one hundred thirty-three trillion, six hundred ninety-eight billion, eight hundred seventeen million, two hundred forty-five thousand, two hundred forty-eight".