133768910786400 has 3456 divisors, whose sum is σ = 543977743196160. Its totient is φ = 31979888640000.

The previous prime is 133768910786341. The next prime is 133768910786419. The reversal of 133768910786400 is 4687019867331.

133768910786400 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 68 + 91 + 0 + 7 + 86 + 400 = 666.

It is a super-3 number, since 3×133768910786400³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 885886826325 + ... + 885886826475.

It is an arithmetic number, because the mean of its divisors is an integer number (157400967360).

Almost surely, 2^{133768910786400} is an apocalyptic number.

133768910786400 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 133768910786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271988871598080).

133768910786400 is an abundant number, since it is smaller than the sum of its proper divisors (410208832409760).

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

133768910786400 is a wasteful number, since it uses less digits than its factorization.

133768910786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 133768910786400 in words is "one hundred thirty-three trillion, seven hundred sixty-eight billion, nine hundred ten million, seven hundred eighty-six thousand, four hundred".