133305756948000 has 5184 divisors, whose sum is σ = 641469199827456. Its totient is φ = 25936339968000.

The previous prime is 133305756947989. The next prime is 133305756948037. The reversal of 133305756948000 is 849657503331.

133305756948000 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 575 + 69 + 4 + 8 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 506865995869 + ... + 506865996131.

It is an arithmetic number, because the mean of its divisors is an integer number (123740200584).

Almost surely, 2^{133305756948000} is an apocalyptic number.

133305756948000 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 133305756948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320734599913728).

133305756948000 is an abundant number, since it is smaller than the sum of its proper divisors (508163442879456).

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

133305756948000 is a wasteful number, since it uses less digits than its factorization.

133305756948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 133305756948000 in words is "one hundred thirty-three trillion, three hundred five billion, seven hundred fifty-six million, nine hundred forty-eight thousand".