134547360768 has 220 divisors, whose sum is σ = 405711306000. Its totient is φ = 44410871808.

The previous prime is 134547360709. The next prime is 134547360803. The reversal of 134547360768 is 867063745431.

It is a happy number.

134547360768 is a `hidden beast` number, since 1 + 3 + 4 + 547 + 36 + 0 + 7 + 68 = 666.

134547360768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8535358 + ... + 8551106.

It is an arithmetic number, because the mean of its divisors is an integer number (1844142300).

Almost surely, 2^134547360768 is an apocalyptic number.

134547360768 is a gapful number since it is divisible by the number (18) 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 134547360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202855653000).

134547360768 is an abundant number, since it is smaller than the sum of its proper divisors (271163945232).

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

134547360768 is a wasteful number, since it uses less digits than its factorization.

134547360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15884 (or 15857 counting only the distinct ones).

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

The spelling of 134547360768 in words is "one hundred thirty-four billion, five hundred forty-seven million, three hundred sixty thousand, seven hundred sixty-eight".