133421345553664 has 432 divisors, whose sum is σ = 317599037078400. Its totient is φ = 55761679024128.

The previous prime is 133421345553637. The next prime is 133421345553689. The reversal of 133421345553664 is 466355543124331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89604663832 + ... + 89604665320.

It is an arithmetic number, because the mean of its divisors is an integer number (735182956200).

Almost surely, 2^{133421345553664} is an apocalyptic number.

133421345553664 is a gapful number since it is divisible by the number (14) 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 133421345553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158799518539200).

133421345553664 is an abundant number, since it is smaller than the sum of its proper divisors (184177691524736).

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

133421345553664 is an equidigital number, since it uses as much as digits as its factorization.

133421345553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2637 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 55.

Adding to 133421345553664 its reverse (466355543124331), we get a palindrome (599776888677995).

The spelling of 133421345553664 in words is "one hundred thirty-three trillion, four hundred twenty-one billion, three hundred forty-five million, five hundred fifty-three thousand, six hundred sixty-four".