144253305 has 72 divisors (see below), whose sum is σ = 301758912. Its totient is φ = 65917152.

The previous prime is 144253297. The next prime is 144253321. The reversal of 144253305 is 503352441.

It is not a de Polignac number, because 144253305 - 2³ = 144253297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58324 + ... + 60746.

It is an arithmetic number, because the mean of its divisors is an integer number (4191096).

Almost surely, 2^144253305 is an apocalyptic number.

144253305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144253305 is an abundant number, since it is smaller than the sum of its proper divisors (157505607).

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

144253305 is an equidigital number, since it uses as much as digits as its factorization.

144253305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 144253305 is about 12010.5497376265. The cubic root of 144253305 is about 524.4554353369.

The spelling of 144253305 in words is "one hundred forty-four million, two hundred fifty-three thousand, three hundred five".