133674210552960 has 2304 divisors, whose sum is σ = 600716545228800. Its totient is φ = 26783579750400.

The previous prime is 133674210552941. The next prime is 133674210552983. The reversal of 133674210552960 is 69255012476331.

133674210552960 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 7 + 4 + 2 + 105 + 529 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133674210552897 and 133674210552906.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46430776801 + ... + 46430779679.

It is an arithmetic number, because the mean of its divisors is an integer number (260727667200).

Almost surely, 2^{133674210552960} is an apocalyptic number.

133674210552960 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 133674210552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300358272614400).

133674210552960 is an abundant number, since it is smaller than the sum of its proper divisors (467042334675840).

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

133674210552960 is a wasteful number, since it uses less digits than its factorization.

133674210552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 133674210552960 in words is "one hundred thirty-three trillion, six hundred seventy-four billion, two hundred ten million, five hundred fifty-two thousand, nine hundred sixty".