1000144000 has 128 divisors (see below), whose sum is σ = 2633595120. Its totient is φ = 376422400.

The previous prime is 1000143953. The next prime is 1000144031. The reversal of 1000144000 is 4410001.

It can be written as a sum of positive squares in 8 ways, for example, as 219276864 + 780867136 = 14808^2 + 27944^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270162 + ... + 273838.

Almost surely, 2^1000144000 is an apocalyptic number.

1000144000 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 1000144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316797560).

1000144000 is an abundant number, since it is smaller than the sum of its proper divisors (1633451120).

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

1000144000 is an equidigital number, since it uses as much as digits as its factorization.

1000144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1000144000 is about 31625.0533596388. The cubic root of 1000144000 is about 1000.0479976962.

Adding to 1000144000 its reverse (4410001), we get a palindrome (1004554001).

It can be divided in two parts, 1000 and 144000, that multiplied together give a square (144000000 = 12000²).

The spelling of 1000144000 in words is "one billion, one hundred forty-four thousand".