144314624 has 36 divisors (see below), whose sum is σ = 288860124. Its totient is φ = 71958528.

The previous prime is 144314609. The next prime is 144314669. The reversal of 144314624 is 426413441.

It can be written as a sum of positive squares in 2 ways, for example, as 140185600 + 4129024 = 11840^2 + 2032^2 .

It is a super-2 number, since 2×144314624² = 41653421400522752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147224 + ... + 148200.

Almost surely, 2^144314624 is an apocalyptic number.

It is an amenable number.

144314624 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

144314624 is an frugal number, since it uses more digits than its factorization.

144314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1556 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 144314624 is about 12013.1021805361. The cubic root of 144314624 is about 524.5297364126.

The spelling of 144314624 in words is "one hundred forty-four million, three hundred fourteen thousand, six hundred twenty-four".