172105254144 has 540 divisors, whose sum is σ = 542856394080. Its totient is φ = 54217175040.

The previous prime is 172105254131. The next prime is 172105254163. The reversal of 172105254144 is 441452501271.

172105254144 is a `hidden beast` number, since 1 + 7 + 2 + 105 + 2 + 541 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 172105254099 and 172105254108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1238167227 + ... + 1238167365.

Almost surely, 2^172105254144 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 172105254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271428197040).

172105254144 is an abundant number, since it is smaller than the sum of its proper divisors (370751139936).

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

172105254144 is an equidigital number, since it uses as much as digits as its factorization.

172105254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 172105254144 in words is "one hundred seventy-two billion, one hundred five million, two hundred fifty-four thousand, one hundred forty-four".