144000900 has 54 divisors (see below), whose sum is σ = 451365642. Its totient is φ = 38400000.

The previous prime is 144000877. The next prime is 144000911. The reversal of 144000900 is 9000441.

It can be written as a sum of positive squares in 3 ways, for example, as 51494976 + 92505924 = 7176^2 + 9618^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 79101 + ... + 80900.

It is an arithmetic number, because the mean of its divisors is an integer number (8358623).

Almost surely, 2^144000900 is an apocalyptic number.

144000900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144000900 is an abundant number, since it is smaller than the sum of its proper divisors (307364742).

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

144000900 is a wasteful number, since it uses less digits than its factorization.

144000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160021 (or 160011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 144000900 is about 12000.0374999414. The cubic root of 144000900 is about 524.1493708151.

The spelling of 144000900 in words is "one hundred forty-four million, nine hundred", and thus it is an aban number.