133485805440 has 768 divisors, whose sum is σ = 522125352000. Its totient is φ = 32039387136.

The previous prime is 133485805373. The next prime is 133485805447. The reversal of 133485805440 is 44508584331.

133485805440 is a `hidden beast` number, since 1 + 3 + 3 + 485 + 80 + 54 + 40 = 666.

133485805440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133485805447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 496229626 + ... + 496229894.

Almost surely, 2^133485805440 is an apocalyptic number.

133485805440 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 133485805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261062676000).

133485805440 is an abundant number, since it is smaller than the sum of its proper divisors (388639546560).

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

133485805440 is a wasteful number, since it uses less digits than its factorization.

133485805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 133485805440 in words is "one hundred thirty-three billion, four hundred eighty-five million, eight hundred five thousand, four hundred forty".