174138105306 has 64 divisors (see below), whose sum is σ = 385456711680. Its totient is φ = 52005058560.

The previous prime is 174138105293. The next prime is 174138105307. The reversal of 174138105306 is 603501831471.

174138105306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×174138105306³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (174138105307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2821530 + ... + 2882586.

It is an arithmetic number, because the mean of its divisors is an integer number (6022761120).

Almost surely, 2^174138105306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 174138105306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192728355840).

174138105306 is an abundant number, since it is smaller than the sum of its proper divisors (211318606374).

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

174138105306 is a wasteful number, since it uses less digits than its factorization.

174138105306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61699.

The product of its (nonzero) digits is 60480, while the sum is 39.

Adding to 174138105306 its reverse (603501831471), we get a palindrome (777639936777).

The spelling of 174138105306 in words is "one hundred seventy-four billion, one hundred thirty-eight million, one hundred five thousand, three hundred six".