134321143134240 has 96 divisors (see below), whose sum is σ = 470124000984960. Its totient is φ = 35818971501312.

The previous prime is 134321143134223. The next prime is 134321143134251. The reversal of 134321143134240 is 42431341123431.

134321143134240 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 211 + 4 + 3 + 13 + 424 + 0 = 666.

134321143134240 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134321143134195 and 134321143134204.

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 15 ways as a sum of consecutive naturals, for example, 15546424284 + ... + 15546432923.

It is an arithmetic number, because the mean of its divisors is an integer number (4897125010260).

Almost surely, 2^{134321143134240} is an apocalyptic number.

134321143134240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134321143134240 is an abundant number, since it is smaller than the sum of its proper divisors (335802857850720).

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

134321143134240 is a wasteful number, since it uses less digits than its factorization.

134321143134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31092857231 (or 31092857217 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 134321143134240 its reverse (42431341123431), we get a palindrome (176752484257671).

The spelling of 134321143134240 in words is "one hundred thirty-four trillion, three hundred twenty-one billion, one hundred forty-three million, one hundred thirty-four thousand, two hundred forty".