147808 has 24 divisors (see below), whose sum is σ = 302400. Its totient is φ = 71040.

The previous prime is 147799. The next prime is 147811. The reversal of 147808 is 808741.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

147808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 918 + ... + 1066.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹⁴⁷⁸⁰⁸ 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 147808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

147808 is an abundant number, since it is smaller than the sum of its proper divisors (154592).

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

147808 is a wasteful number, since it uses less digits than its factorization.

147808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 147808 is about 384.4580601314. The cubic root of 147808 is about 52.8728410015.

The spelling of 147808 in words is "one hundred forty-seven thousand, eight hundred eight".