168141312 has 80 divisors (see below), whose sum is σ = 497750880. Its totient is φ = 56042496.

The previous prime is 168141307. The next prime is 168141319. The reversal of 168141312 is 213141861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (168141319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7743 + ... + 19905.

It is an arithmetic number, because the mean of its divisors is an integer number (6221886).

Almost surely, 2^168141312 is an apocalyptic number.

168141312 is a gapful number since it is divisible by the number (12) 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 168141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248875440).

168141312 is an abundant number, since it is smaller than the sum of its proper divisors (329609568).

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

168141312 is an equidigital number, since it uses as much as digits as its factorization.

168141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 12168 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 168141312 is about 12966.9314797295. The cubic root of 168141312 is about 551.9395018764.

The spelling of 168141312 in words is "one hundred sixty-eight million, one hundred forty-one thousand, three hundred twelve".