135144000 has 168 divisors, whose sum is σ = 483690168. Its totient is φ = 36019200.

The previous prime is 135143993. The next prime is 135144019. The reversal of 135144000 is 441531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 132158016 = 1728^2 + 11496^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71062 + ... + 72938.

Almost surely, 2^135144000 is an apocalyptic number.

135144000 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 135144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241845084).

135144000 is an abundant number, since it is smaller than the sum of its proper divisors (348546168).

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

135144000 is a wasteful number, since it uses less digits than its factorization.

135144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1887 counting only the distinct ones).

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

The square root of 135144000 is about 11625.1451603840. The cubic root of 135144000 is about 513.1751166233.

Adding to 135144000 its reverse (441531), we get a palindrome (135585531).

The spelling of 135144000 in words is "one hundred thirty-five million, one hundred forty-four thousand".