133606456360960 has 1088 divisors, whose sum is σ = 387951369661440. Its totient is φ = 43963121664000.

The previous prime is 133606456360921. The next prime is 133606456360987. The reversal of 133606456360960 is 69063654606331.

It is a junction number, because it is equal to n+sod(n) for n = 133606456360895 and 133606456360904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190594088610 + ... + 190594089310.

Almost surely, 2^{133606456360960} is an apocalyptic number.

133606456360960 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 133606456360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193975684830720).

133606456360960 is an abundant number, since it is smaller than the sum of its proper divisors (254344913300480).

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

133606456360960 is an frugal number, since it uses more digits than its factorization.

133606456360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 58.

The spelling of 133606456360960 in words is "one hundred thirty-three trillion, six hundred six billion, four hundred fifty-six million, three hundred sixty thousand, nine hundred sixty".