172131686208 has 168 divisors, whose sum is σ = 521627506400. Its totient is φ = 54119218176.

The previous prime is 172131686197. The next prime is 172131686231. The reversal of 172131686208 is 802686131271.

172131686208 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 3 + 16 + 8 + 620 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2471835 + ... + 2540517.

Almost surely, 2^172131686208 is an apocalyptic number.

172131686208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172131686208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260813753200).

172131686208 is an abundant number, since it is smaller than the sum of its proper divisors (349495820192).

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

172131686208 is a wasteful number, since it uses less digits than its factorization.

172131686208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68949 (or 68936 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 172131686208 in words is "one hundred seventy-two billion, one hundred thirty-one million, six hundred eighty-six thousand, two hundred eight".