171392144 has 60 divisors (see below), whose sum is σ = 417181632. Its totient is φ = 66770880.

The previous prime is 171392129. The next prime is 171392153. The reversal of 171392144 is 441293171.

171392144 is nontrivially palindromic in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 171392144.

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 11 ways as a sum of consecutive naturals, for example, 7229 + ... + 19875.

Almost surely, 2^171392144 is an apocalyptic number.

171392144 is a gapful number since it is divisible by the number (14) 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 171392144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208590816).

171392144 is an abundant number, since it is smaller than the sum of its proper divisors (245789488).

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

171392144 is a wasteful number, since it uses less digits than its factorization.

171392144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12667 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 171392144 is about 13091.6822448454. The cubic root of 171392144 is about 555.4738738815.

The spelling of 171392144 in words is "one hundred seventy-one million, three hundred ninety-two thousand, one hundred forty-four".