133033236427008 has 1152 divisors, whose sum is σ = 446307563520000. Its totient is φ = 38883382788096.

The previous prime is 133033236426997. The next prime is 133033236427051. The reversal of 133033236427008 is 800724632330331.

It is a happy number.

133033236427008 is a `hidden beast` number, since 1 + 3 + 303 + 3 + 236 + 42 + 70 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×133033236427008² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12634930288 + ... + 12634940816.

It is an arithmetic number, because the mean of its divisors is an integer number (387419760000).

Almost surely, 2^{133033236427008} is an apocalyptic number.

133033236427008 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 133033236427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223153781760000).

133033236427008 is an abundant number, since it is smaller than the sum of its proper divisors (313274327092992).

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

133033236427008 is a wasteful number, since it uses less digits than its factorization.

133033236427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10712 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

Adding to 133033236427008 its reverse (800724632330331), we get a palindrome (933757868757339).

The spelling of 133033236427008 in words is "one hundred thirty-three trillion, thirty-three billion, two hundred thirty-six million, four hundred twenty-seven thousand, eight".