168144000 has 256 divisors, whose sum is σ = 580469760. Its totient is φ = 43008000.

The previous prime is 168143981. The next prime is 168144029. The reversal of 168144000 is 441861.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487944 + ... + 1488056.

It is an arithmetic number, because the mean of its divisors is an integer number (2267460).

Almost surely, 2^168144000 is an apocalyptic number.

168144000 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 168144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290234880).

168144000 is an abundant number, since it is smaller than the sum of its proper divisors (412325760).

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

168144000 is a wasteful number, since it uses less digits than its factorization.

168144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 168144000 is about 12967.0351275841. The cubic root of 168144000 is about 551.9424430641.

Adding to 168144000 its reverse (441861), we get a palindrome (168585861).

The spelling of 168144000 in words is "one hundred sixty-eight million, one hundred forty-four thousand".