2134135025106 has 256 divisors, whose sum is σ = 5407736463360. Its totient is φ = 547469890560.

The previous prime is 2134135025093. The next prime is 2134135025117. The reversal of 2134135025106 is 6015205314312.

It is a super-2 number, since 2×2134135025106² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1078389625 + ... + 1078391603.

It is an arithmetic number, because the mean of its divisors is an integer number (21123970560).

Almost surely, 2^{2134135025106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134135025106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703868231680).

2134135025106 is an abundant number, since it is smaller than the sum of its proper divisors (3273601438254).

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

2134135025106 is a wasteful number, since it uses less digits than its factorization.

2134135025106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 2134135025106 in words is "two trillion, one hundred thirty-four billion, one hundred thirty-five million, twenty-five thousand, one hundred six".