1350144000 has 312 divisors, whose sum is σ = 4883736312. Its totient is φ = 358809600.

The previous prime is 1350143969. The next prime is 1350144007. The reversal of 1350144000 is 4410531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 1344835584 = 2304^2 + 36672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1350144007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607854 + ... + 4608146.

It is an arithmetic number, because the mean of its divisors is an integer number (15653001).

Almost surely, 2^1350144000 is an apocalyptic number.

1350144000 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 1350144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441868156).

1350144000 is an abundant number, since it is smaller than the sum of its proper divisors (3533592312).

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

1350144000 is an equidigital number, since it uses as much as digits as its factorization.

1350144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1350144000 is about 36744.3056812889. The cubic root of 1350144000 is about 1105.2487445310.

Adding to 1350144000 its reverse (4410531), we get a palindrome (1354554531).

The spelling of 1350144000 in words is "one billion, three hundred fifty million, one hundred forty-four thousand".