171285120 has 192 divisors, whose sum is σ = 598609440. Its totient is φ = 45127680.

The previous prime is 171285109. The next prime is 171285143. The reversal of 171285120 is 21582171.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 754447 + ... + 754673.

Almost surely, 2^171285120 is an apocalyptic number.

171285120 is a gapful number since it is divisible by the number (10) 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 171285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299304720).

171285120 is an abundant number, since it is smaller than the sum of its proper divisors (427324320).

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

171285120 is a wasteful number, since it uses less digits than its factorization.

171285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 171285120 is about 13087.5941257360. The cubic root of 171285120 is about 555.3582298913.

It can be divided in two parts, 171285 and 120, that added together give a triangular number (171405 = T₅₈₅).

The spelling of 171285120 in words is "one hundred seventy-one million, two hundred eighty-five thousand, one hundred twenty".