133421880630528 has 540 divisors, whose sum is σ = 487150976410560. Its totient is φ = 36114188027904.

The previous prime is 133421880630527. The next prime is 133421880630581. The reversal of 133421880630528 is 825036088124331.

133421880630528 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 1 + 8 + 80 + 6 + 30 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133421880630527) 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 59 ways as a sum of consecutive naturals, for example, 15849625 + ... + 22760807.

Almost surely, 2^{133421880630528} is an apocalyptic number.

133421880630528 is a gapful number since it is divisible by the number (18) 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 133421880630528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243575488205280).

133421880630528 is an abundant number, since it is smaller than the sum of its proper divisors (353729095780032).

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

133421880630528 is an equidigital number, since it uses as much as digits as its factorization.

133421880630528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6911244 (or 6911214 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 133421880630528 in words is "one hundred thirty-three trillion, four hundred twenty-one billion, eight hundred eighty million, six hundred thirty thousand, five hundred twenty-eight".