2134340534144 has 256 divisors, whose sum is σ = 5467343616000. Its totient is φ = 806671540224.

The previous prime is 2134340534143. The next prime is 2134340534233. The reversal of 2134340534144 is 4414350434312.

It is a junction number, because it is equal to n+sod(n) for n = 2134340534098 and 2134340534107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134340534143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246199442 + ... + 246208110.

It is an arithmetic number, because the mean of its divisors is an integer number (21356811000).

Almost surely, 2^{2134340534144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134340534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733671808000).

2134340534144 is an abundant number, since it is smaller than the sum of its proper divisors (3333003081856).

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

2134340534144 is a wasteful number, since it uses less digits than its factorization.

2134340534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9645 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 2134340534144 its reverse (4414350434312), we get a palindrome (6548690968456).

The spelling of 2134340534144 in words is "two trillion, one hundred thirty-four billion, three hundred forty million, five hundred thirty-four thousand, one hundred forty-four".