134374560768000 has 896 divisors, whose sum is σ = 567837317399040. Its totient is φ = 30714141081600.

The previous prime is 134374560767999. The next prime is 134374560768047. The reversal of 134374560768000 is 867065473431.

It is a happy number.

134374560768000 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 7 + 4 + 560 + 76 + 8 + 0 + 0 + 0 = 666.

134374560768000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193188844 + ... + 193883156.

Almost surely, 2^{134374560768000} is an apocalyptic number.

134374560768000 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 134374560768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283918658699520).

134374560768000 is an abundant number, since it is smaller than the sum of its proper divisors (433462756631040).

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

134374560768000 is an frugal number, since it uses more digits than its factorization.

134374560768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694370 (or 694330 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 134374560768000 in words is "one hundred thirty-four trillion, three hundred seventy-four billion, five hundred sixty million, seven hundred sixty-eight thousand".