168189120 has 168 divisors, whose sum is σ = 631210320. Its totient is φ = 40765440.

The previous prime is 168189113. The next prime is 168189149. The reversal of 168189120 is 21981861.

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

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, 29026 + ... + 34334.

Almost surely, 2^168189120 is an apocalyptic number.

168189120 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 168189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315605160).

168189120 is an abundant number, since it is smaller than the sum of its proper divisors (463021200).

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

168189120 is a wasteful number, since it uses less digits than its factorization.

168189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 168189120 is about 12968.7748072052. The cubic root of 168189120 is about 551.9918083220.

The spelling of 168189120 in words is "one hundred sixty-eight million, one hundred eighty-nine thousand, one hundred twenty".