133018917763200 has 1152 divisors, whose sum is σ = 507982594354560. Its totient is φ = 29968249651200.

The previous prime is 133018917763187. The next prime is 133018917763211. The reversal of 133018917763200 is 2367719810331.

It is a happy number.

133018917763200 is digitally balanced in base 3, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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, 517583337472 + ... + 517583337728.

It is an arithmetic number, because the mean of its divisors is an integer number (440957113155).

Almost surely, 2^{133018917763200} is an apocalyptic number.

133018917763200 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 133018917763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253991297177280).

133018917763200 is an abundant number, since it is smaller than the sum of its proper divisors (374963676591360).

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

133018917763200 is a wasteful number, since it uses less digits than its factorization.

133018917763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 133018917763200 in words is "one hundred thirty-three trillion, eighteen billion, nine hundred seventeen million, seven hundred sixty-three thousand, two hundred".