133347668332164 has 192 divisors, whose sum is σ = 366831068018688. Its totient is φ = 37168428211200.

The previous prime is 133347668332117. The next prime is 133347668332267. The reversal of 133347668332164 is 461233866743331.

It is a junction number, because it is equal to n+sod(n) for n = 133347668332098 and 133347668332107.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1773367752 + ... + 1773442944.

It is an arithmetic number, because the mean of its divisors is an integer number (1910578479264).

Almost surely, 2^{133347668332164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133347668332164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183415534009344).

133347668332164 is an abundant number, since it is smaller than the sum of its proper divisors (233483399686524).

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

133347668332164 is a wasteful number, since it uses less digits than its factorization.

133347668332164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78858 (or 78856 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 60.

The spelling of 133347668332164 in words is "one hundred thirty-three trillion, three hundred forty-seven billion, six hundred sixty-eight million, three hundred thirty-two thousand, one hundred sixty-four".