145216008 has 72 divisors (see below), whose sum is σ = 457515630. Its totient is φ = 41489280.

The previous prime is 145216007. The next prime is 145216033. The reversal of 145216008 is 800612541.

145216008 is a `hidden beast` number, since 1 + 4 + 52 + 1 + 600 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111133764 + 34082244 = 10542^2 + 5838^2 .

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

It is not an unprimeable number, because it can be changed into a prime (145216003) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 17053 + ... + 24108.

Almost surely, 2^145216008 is an apocalyptic number.

145216008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145216008 is an abundant number, since it is smaller than the sum of its proper divisors (312299622).

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

145216008 is a wasteful number, since it uses less digits than its factorization.

145216008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41187 (or 41173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 145216008 is about 12050.5604848903. The cubic root of 145216008 is about 525.6195352858.

Adding to 145216008 its reverse (800612541), we get a palindrome (945828549).

It can be divided in two parts, 145 and 216008, that added together give a triangular number (216153 = T₆₅₇).

The spelling of 145216008 in words is "one hundred forty-five million, two hundred sixteen thousand, eight".