134310420342000 has 960 divisors, whose sum is σ = 541863396023040. Its totient is φ = 30370913280000.

The previous prime is 134310420341989. The next prime is 134310420342019. The reversal of 134310420342000 is 243024013431.

134310420342000 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 0 + 420 + 34 + 200 + 0 = 666.

134310420342000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18999914466 + ... + 18999921534.

It is an arithmetic number, because the mean of its divisors is an integer number (564441037524).

Almost surely, 2^{134310420342000} is an apocalyptic number.

134310420342000 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 134310420342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270931698011520).

134310420342000 is an abundant number, since it is smaller than the sum of its proper divisors (407552975681040).

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

134310420342000 is a wasteful number, since it uses less digits than its factorization.

134310420342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8699 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 134310420342000 its reverse (243024013431), we get a palindrome (134553444355431).

The spelling of 134310420342000 in words is "one hundred thirty-four trillion, three hundred ten billion, four hundred twenty million, three hundred forty-two thousand".