133501035035500 has 384 divisors, whose sum is σ = 328007324316672. Its totient is φ = 47055008000000.

The previous prime is 133501035035483. The next prime is 133501035035507. The reversal of 133501035035500 is 5530530105331.

It is not an unprimeable number, because it can be changed into a prime (133501035035507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8668327800 + ... + 8668343200.

It is an arithmetic number, because the mean of its divisors is an integer number (854185740408).

Almost surely, 2^{133501035035500} is an apocalyptic number.

133501035035500 is a gapful number since it is divisible by the number (10) 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 133501035035500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164003662158336).

133501035035500 is an abundant number, since it is smaller than the sum of its proper divisors (194506289281172).

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

133501035035500 is a wasteful number, since it uses less digits than its factorization.

133501035035500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15842 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 50625, while the sum is 34.

The spelling of 133501035035500 in words is "one hundred thirty-three trillion, five hundred one billion, thirty-five million, thirty-five thousand, five hundred".