171142320 has 80 divisors (see below), whose sum is σ = 547679232. Its totient is φ = 44163840.

The previous prime is 171142319. The next prime is 171142331. The reversal of 171142320 is 23241171.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4062 + ... + 18941.

Almost surely, 2^171142320 is an apocalyptic number.

171142320 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 171142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273839616).

171142320 is an abundant number, since it is smaller than the sum of its proper divisors (376536912).

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

171142320 is a wasteful number, since it uses less digits than its factorization.

171142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23050 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 171142320 is about 13082.1374400363. The cubic root of 171142320 is about 555.2038533674.

Adding to 171142320 its reverse (23241171), we get a palindrome (194383491).

The spelling of 171142320 in words is "one hundred seventy-one million, one hundred forty-two thousand, three hundred twenty".