147968 has 30 divisors (see below), whose sum is σ = 314061. Its totient is φ = 69632.

The previous prime is 147949. The next prime is 147977. The reversal of 147968 is 869741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 12544 = 368^2 + 112^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=272.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8696 + ... + 8712.

2¹⁴⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147968

147968 is an abundant number, since it is smaller than the sum of its proper divisors (166093).

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

147968 is an frugal number, since it uses more digits than its factorization.

147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 19 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 147968 is about 384.6660889655. Note that the first 3 decimals coincide. The cubic root of 147968 is about 52.8919121477.

The spelling of 147968 in words is "one hundred forty-seven thousand, nine hundred sixty-eight".