144219264 has 64 divisors (see below), whose sum is σ = 437816640. Its totient is φ = 41204736.

The previous prime is 144219259. The next prime is 144219281. The reversal of 144219264 is 462912441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×144219264² = 41598392217403392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24139 + ... + 29514.

It is an arithmetic number, because the mean of its divisors is an integer number (6840885).

Almost surely, 2^144219264 is an apocalyptic number.

144219264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144219264 is an abundant number, since it is smaller than the sum of its proper divisors (293597376).

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

144219264 is an equidigital number, since it uses as much as digits as its factorization.

144219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53677 (or 53665 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 144219264 is about 12009.1325248746. The cubic root of 144219264 is about 524.4141782995.

It can be divided in two parts, 1442 and 19264, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 144219264 in words is "one hundred forty-four million, two hundred nineteen thousand, two hundred sixty-four".