133212045426560 has 256 divisors, whose sum is σ = 322034702572800. Its totient is φ = 52690231050240.

The previous prime is 133212045426547. The next prime is 133212045426599. The reversal of 133212045426560 is 65624540212331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24591476972 + ... + 24591482388.

It is an arithmetic number, because the mean of its divisors is an integer number (1257948056925).

Almost surely, 2^{133212045426560} is an apocalyptic number.

133212045426560 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 133212045426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161017351286400).

133212045426560 is an abundant number, since it is smaller than the sum of its proper divisors (188822657146240).

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

133212045426560 is a wasteful number, since it uses less digits than its factorization.

133212045426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

Adding to 133212045426560 its reverse (65624540212331), we get a palindrome (198836585638891).

The spelling of 133212045426560 in words is "one hundred thirty-three trillion, two hundred twelve billion, forty-five million, four hundred twenty-six thousand, five hundred sixty".