133516198296000 has 1344 divisors, whose sum is σ = 526925850587136. Its totient is φ = 32070463488000.

The previous prime is 133516198295983. The next prime is 133516198296029. The reversal of 133516198296000 is 692891615331.

133516198296000 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 1 + 6 + 1 + 9 + 8 + 29 + 600 + 0 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 7251182794 + ... + 7251201206.

It is an arithmetic number, because the mean of its divisors is an integer number (392057924544).

Almost surely, 2^{133516198296000} is an apocalyptic number.

133516198296000 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 133516198296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263462925293568).

133516198296000 is an abundant number, since it is smaller than the sum of its proper divisors (393409652291136).

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

133516198296000 is a wasteful number, since it uses less digits than its factorization.

133516198296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18647 (or 18624 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 133516198296000 in words is "one hundred thirty-three trillion, five hundred sixteen billion, one hundred ninety-eight million, two hundred ninety-six thousand".