133036839936 has 2112 divisors, whose sum is σ = 585448550400. Its totient is φ = 28904325120.

The previous prime is 133036839911. The next prime is 133036839937. The reversal of 133036839936 is 639938630331.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133036839937) 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 191 ways as a sum of consecutive naturals, for example, 5784210421 + ... + 5784210443.

Almost surely, 2^133036839936 is an apocalyptic number.

133036839936 is a gapful number since it is divisible by the number (16) 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 133036839936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292724275200).

133036839936 is an abundant number, since it is smaller than the sum of its proper divisors (452411710464).

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

133036839936 is a wasteful number, since it uses less digits than its factorization.

133036839936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 133036839936 in words is "one hundred thirty-three billion, thirty-six million, eight hundred thirty-nine thousand, nine hundred thirty-six".