135530304 has 112 divisors (see below), whose sum is σ = 441399168. Its totient is φ = 35739648.

The previous prime is 135530303. The next prime is 135530309. The reversal of 135530304 is 403035531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135530303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13594 + ... + 21350.

It is an arithmetic number, because the mean of its divisors is an integer number (3941064).

Almost surely, 2^135530304 is an apocalyptic number.

135530304 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 135530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220699584).

135530304 is an abundant number, since it is smaller than the sum of its proper divisors (305868864).

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

135530304 is a wasteful number, since it uses less digits than its factorization.

135530304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 135530304 is about 11641.7483223097. The cubic root of 135530304 is about 513.6636153381.

Adding to 135530304 its reverse (403035531), we get a palindrome (538565835).

The spelling of 135530304 in words is "one hundred thirty-five million, five hundred thirty thousand, three hundred four".