1530144 has 192 divisors, whose sum is σ = 5806080. Its totient is φ = 380160.

The previous prime is 1530143. The next prime is 1530149. The reversal of 1530144 is 4410351.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1530143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66517 + ... + 66539.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2^1530144 is an apocalyptic number.

1530144 is a gapful number since it is divisible by the number (14) 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 1530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

1530144 is an abundant number, since it is smaller than the sum of its proper divisors (4275936).

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

1530144 is a wasteful number, since it uses less digits than its factorization.

1530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

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

The square root of 1530144 is about 1236.9898948658. The cubic root of 1530144 is about 115.2331501819.

Adding to 1530144 its reverse (4410351), we get a palindrome (5940495).

The spelling of 1530144 in words is "one million, five hundred thirty thousand, one hundred forty-four".