133480528900560 has 240 divisors, whose sum is σ = 491007991490640. Its totient is φ = 32345788661760.

The previous prime is 133480528900519. The next prime is 133480528900561. The reversal of 133480528900560 is 65009825084331.

133480528900560 is a `hidden beast` number, since 1 + 3 + 3 + 480 + 5 + 28 + 90 + 0 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4201991615376 + 129278537285184 = 2049876^2 + 11370072^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 133480528900497 and 133480528900506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133480528900561) 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 47 ways as a sum of consecutive naturals, for example, 187666971 + ... + 188376890.

It is an arithmetic number, because the mean of its divisors is an integer number (2045866631211).

Almost surely, 2^{133480528900560} is an apocalyptic number.

133480528900560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133480528900560 is an abundant number, since it is smaller than the sum of its proper divisors (357527462590080).

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

133480528900560 is a wasteful number, since it uses less digits than its factorization.

133480528900560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376043926 (or 376043917 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 133480528900560 in words is "one hundred thirty-three trillion, four hundred eighty billion, five hundred twenty-eight million, nine hundred thousand, five hundred sixty".