172834142208 has 864 divisors, whose sum is σ = 601426425600. Its totient is φ = 43958992896.

The previous prime is 172834142171. The next prime is 172834142237. The reversal of 172834142208 is 802241438271.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 172834142208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2187773913 + ... + 2187773991.

It is an arithmetic number, because the mean of its divisors is an integer number (696095400).

Almost surely, 2^172834142208 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 172834142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300713212800).

172834142208 is an abundant number, since it is smaller than the sum of its proper divisors (428592283392).

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

172834142208 is a wasteful number, since it uses less digits than its factorization.

172834142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 172834142208 in words is "one hundred seventy-two billion, eight hundred thirty-four million, one hundred forty-two thousand, two hundred eight".