133090729523200 has 576 divisors, whose sum is σ = 346951653048000. Its totient is φ = 50562874736640.

The previous prime is 133090729523177. The next prime is 133090729523203. The reversal of 133090729523200 is 2325927090331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133090729523203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47583384202 + ... + 47583386998.

It is an arithmetic number, because the mean of its divisors is an integer number (602346619875).

Almost surely, 2^{133090729523200} is an apocalyptic number.

133090729523200 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 133090729523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173475826524000).

133090729523200 is an abundant number, since it is smaller than the sum of its proper divisors (213860923524800).

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

133090729523200 is a wasteful number, since it uses less digits than its factorization.

133090729523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 133090729523200 in words is "one hundred thirty-three trillion, ninety billion, seven hundred twenty-nine million, five hundred twenty-three thousand, two hundred".