144806805 has 96 divisors (see below), whose sum is σ = 304629120. Its totient is φ = 64696320.

The previous prime is 144806801. The next prime is 144806807. The reversal of 144806805 is 508608441.

It is not a de Polignac number, because 144806805 - 2² = 144806801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144806805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144806801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250677 + ... + 251253.

It is an arithmetic number, because the mean of its divisors is an integer number (3173220).

Almost surely, 2^144806805 is an apocalyptic number.

144806805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144806805 is an abundant number, since it is smaller than the sum of its proper divisors (159822315).

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

144806805 is a wasteful number, since it uses less digits than its factorization.

144806805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 144806805 is about 12033.5699191886. The cubic root of 144806805 is about 525.1253578202.

The spelling of 144806805 in words is "one hundred forty-four million, eight hundred six thousand, eight hundred five".