133200438560640 has 2048 divisors, whose sum is σ = 542378911334400. Its totient is φ = 30580435353600.

The previous prime is 133200438560633. The next prime is 133200438560719. The reversal of 133200438560640 is 46065834002331.

133200438560640 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 0 + 4 + 38 + 5 + 606 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 309049741225 + ... + 309049741655.

It is an arithmetic number, because the mean of its divisors is an integer number (264833452800).

Almost surely, 2^{133200438560640} is an apocalyptic number.

133200438560640 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 133200438560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271189455667200).

133200438560640 is an abundant number, since it is smaller than the sum of its proper divisors (409178472773760).

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

133200438560640 is a wasteful number, since it uses less digits than its factorization.

133200438560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 133200438560640 in words is "one hundred thirty-three trillion, two hundred billion, four hundred thirty-eight million, five hundred sixty thousand, six hundred forty".