135530560 has 112 divisors (see below), whose sum is σ = 355884480. Its totient is φ = 48752640.

The previous prime is 135530537. The next prime is 135530561. The reversal of 135530560 is 65035531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135530561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489142 + ... + 489418.

It is an arithmetic number, because the mean of its divisors is an integer number (3177540).

Almost surely, 2^135530560 is an apocalyptic number.

135530560 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 135530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177942240).

135530560 is an abundant number, since it is smaller than the sum of its proper divisors (220353920).

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

135530560 is a wasteful number, since it uses less digits than its factorization.

135530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

The square root of 135530560 is about 11641.7593172166. The cubic root of 135530560 is about 513.6639387536.

The spelling of 135530560 in words is "one hundred thirty-five million, five hundred thirty thousand, five hundred sixty".