145568808 has 288 divisors, whose sum is σ = 520715520. Its totient is φ = 36590400.

The previous prime is 145568783. The next prime is 145568827. The reversal of 145568808 is 808865541.

145568808 is a `hidden beast` number, since 1 + 4 + 5 + 568 + 80 + 8 = 666.

145568808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4695753 + ... + 4695783.

It is an arithmetic number, because the mean of its divisors is an integer number (1808040).

Almost surely, 2^145568808 is an apocalyptic number.

145568808 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 145568808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260357760).

145568808 is an abundant number, since it is smaller than the sum of its proper divisors (375146712).

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

145568808 is a wasteful number, since it uses less digits than its factorization.

145568808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 145568808 is about 12065.1899280533. The cubic root of 145568808 is about 526.0448524934.

The spelling of 145568808 in words is "one hundred forty-five million, five hundred sixty-eight thousand, eight hundred eight".