133301121876000 has 768 divisors, whose sum is σ = 524484413107200. Its totient is φ = 32690511360000.

The previous prime is 133301121875903. The next prime is 133301121876031. The reversal of 133301121876000 is 678121103331.

133301121876000 is a `hidden beast` number, since 1 + 3 + 3 + 30 + 1 + 1 + 2 + 18 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 377499525 + ... + 377852475.

It is an arithmetic number, because the mean of its divisors is an integer number (682922412900).

Almost surely, 2^{133301121876000} is an apocalyptic number.

133301121876000 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 133301121876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262242206553600).

133301121876000 is an abundant number, since it is smaller than the sum of its proper divisors (391183291231200).

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

133301121876000 is a wasteful number, since it uses less digits than its factorization.

133301121876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353267 (or 353243 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 133301121876000 its reverse (678121103331), we get a palindrome (133979242979331).

The spelling of 133301121876000 in words is "one hundred thirty-three trillion, three hundred one billion, one hundred twenty-one million, eight hundred seventy-six thousand".