174138105345 has 32 divisors (see below), whose sum is σ = 279866980224. Its totient is φ = 92459136000.

The previous prime is 174138105343. The next prime is 174138105359. The reversal of 174138105345 is 543501831471.

It is not a de Polignac number, because 174138105345 - 2¹ = 174138105343 is a prime.

It is a super-3 number, since 3×174138105345³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 174138105297 and 174138105306.

It is not an unprimeable number, because it can be changed into a prime (174138105343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455449 + ... + 3505481.

It is an arithmetic number, because the mean of its divisors is an integer number (8745843132).

Almost surely, 2^174138105345 is an apocalyptic number.

174138105345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

174138105345 is a deficient number, since it is larger than the sum of its proper divisors (105728874879).

174138105345 is a wasteful number, since it uses less digits than its factorization.

174138105345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51073.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 174138105345 in words is "one hundred seventy-four billion, one hundred thirty-eight million, one hundred five thousand, three hundred forty-five".