133061074816000 has 1584 divisors, whose sum is σ = 385500770946720. Its totient is φ = 45693075456000.

The previous prime is 133061074815997. The next prime is 133061074816027. The reversal of 133061074816000 is 618470160331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 675436927902 + ... + 675436928098.

It is an arithmetic number, because the mean of its divisors is an integer number (243371698830).

Almost surely, 2^{133061074816000} is an apocalyptic number.

133061074816000 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 133061074816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192750385473360).

133061074816000 is an abundant number, since it is smaller than the sum of its proper divisors (252439696130720).

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

133061074816000 is a wasteful number, since it uses less digits than its factorization.

133061074816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 133061074816000 in words is "one hundred thirty-three trillion, sixty-one billion, seventy-four million, eight hundred sixteen thousand".