147808000 has 144 divisors (see below), whose sum is σ = 382636800. Its totient is φ = 56832000.

The previous prime is 147807971. The next prime is 147808021. The reversal of 147808000 is 808741.

It is a self number, because there is not a number n which added to its sum of digits gives 147808000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991926 + ... + 992074.

It is an arithmetic number, because the mean of its divisors is an integer number (2657200).

Almost surely, 2^147808000 is an apocalyptic number.

147808000 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 147808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191318400).

147808000 is an abundant number, since it is smaller than the sum of its proper divisors (234828800).

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

147808000 is an equidigital number, since it uses as much as digits as its factorization.

147808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

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

The square root of 147808000 is about 12157.6313482520. The cubic root of 147808000 is about 528.7284100151.

The spelling of 147808000 in words is "one hundred forty-seven million, eight hundred eight thousand".