144810000 has 150 divisors (see below), whose sum is σ = 506736230. Its totient is φ = 38592000.

The previous prime is 144809999. The next prime is 144810037. The reversal of 144810000 is 18441.

It can be written as a sum of positive squares in 5 ways, for example, as 17842176 + 126967824 = 4224^2 + 11268^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×144810000² = 41939872200000000, which contains 22 as substring.

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 (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89196 + ... + 90804.

Almost surely, 2^144810000 is an apocalyptic number.

144810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253368115).

144810000 is an abundant number, since it is smaller than the sum of its proper divisors (361926230).

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

144810000 is a wasteful number, since it uses less digits than its factorization.

144810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 144810000 is about 12033.7026720789. The cubic root of 144810000 is about 525.1292198928.

Adding to 144810000 its reverse (18441), we get a palindrome (144828441).

It can be divided in two parts, 144 and 810000, that multiplied together give a square (116640000 = 10800²).

The spelling of 144810000 in words is "one hundred forty-four million, eight hundred ten thousand".