133303218048 has 1536 divisors, whose sum is σ = 554274201600. Its totient is φ = 30656102400.

The previous prime is 133303218029. The next prime is 133303218071. The reversal of 133303218048 is 840812303331.

133303218048 is a `hidden beast` number, since 133 + 303 + 2 + 180 + 48 = 666.

It is a super-3 number, since 3×133303218048³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1179674440 + ... + 1179674552.

It is an arithmetic number, because the mean of its divisors is an integer number (360855600).

Almost surely, 2^133303218048 is an apocalyptic number.

133303218048 is a gapful number since it is divisible by the number (18) 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 133303218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277137100800).

133303218048 is an abundant number, since it is smaller than the sum of its proper divisors (420970983552).

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

133303218048 is a wasteful number, since it uses less digits than its factorization.

133303218048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 133303218048 in words is "one hundred thirty-three billion, three hundred three million, two hundred eighteen thousand, forty-eight".