147168 has 72 divisors (see below), whose sum is σ = 484848. Its totient is φ = 41472.

The previous prime is 147163. The next prime is 147179. The reversal of 147168 is 861741.

It is a happy number.

147168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1344) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1980 + ... + 2052.

It is an arithmetic number, because the mean of its divisors is an integer number (6734).

2¹⁴⁷¹⁶⁸ is an apocalyptic number.

147168 is a gapful number since it is divisible by the number (18) 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 147168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242424).

147168 is an abundant number, since it is smaller than the sum of its proper divisors (337680).

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

147168 is a wasteful number, since it uses less digits than its factorization.

147168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 147168 is about 383.6248167155. The cubic root of 147168 is about 52.7964184898.

The spelling of 147168 in words is "one hundred forty-seven thousand, one hundred sixty-eight".