1350144 has 60 divisors (see below), whose sum is σ = 3909906. Its totient is φ = 448512.

The previous prime is 1350133. The next prime is 1350187. The reversal of 1350144 is 4410531.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 518400 = 912^2 + 720^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4462 + ... + 4754.

2^1350144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954953).

1350144 is an abundant number, since it is smaller than the sum of its proper divisors (2559762).

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

1350144 is an equidigital number, since it uses as much as digits as its factorization.

1350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

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

The square root of 1350144 is about 1161.9569699434. The cubic root of 1350144 is about 110.5248744531.

Adding to 1350144 its reverse (4410531), we get a palindrome (5760675).

The spelling of 1350144 in words is "one million, three hundred fifty thousand, one hundred forty-four".