144218000 has 40 divisors (see below), whose sum is σ = 348723960. Its totient is φ = 57686400.

The previous prime is 144217979. The next prime is 144218029. The reversal of 144218000 is 812441.

It can be written as a sum of positive squares in 4 ways, for example, as 3748096 + 140469904 = 1936^2 + 11852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34055 + ... + 38054.

It is an arithmetic number, because the mean of its divisors is an integer number (8718099).

Almost surely, 2^144218000 is an apocalyptic number.

144218000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144218000 is an abundant number, since it is smaller than the sum of its proper divisors (204505960).

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

144218000 is an equidigital number, since it uses as much as digits as its factorization.

144218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72132 (or 72116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 144218000 is about 12009.0798981437. The cubic root of 144218000 is about 524.4126462308.

The spelling of 144218000 in words is "one hundred forty-four million, two hundred eighteen thousand".