133355502544000 has 512 divisors, whose sum is σ = 382200842649600. Its totient is φ = 45797266944000.

The previous prime is 133355502543953. The next prime is 133355502544007. The reversal of 133355502544000 is 445205553331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (133355502544007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319583497 + ... + 320000503.

It is an arithmetic number, because the mean of its divisors is an integer number (746486020800).

Almost surely, 2^{133355502544000} is an apocalyptic number.

133355502544000 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 133355502544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191100421324800).

133355502544000 is an abundant number, since it is smaller than the sum of its proper divisors (248845340105600).

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

133355502544000 is a wasteful number, since it uses less digits than its factorization.

133355502544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417149 (or 417127 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

The spelling of 133355502544000 in words is "one hundred thirty-three trillion, three hundred fifty-five billion, five hundred two million, five hundred forty-four thousand".