135288576 has 216 divisors, whose sum is σ = 429526160. Its totient is φ = 41969664.

The previous prime is 135288551. The next prime is 135288577. The reversal of 135288576 is 675882531.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×135288576² = 36605997592215552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135288577) 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 23 ways as a sum of consecutive naturals, for example, 3656430 + ... + 3656466.

Almost surely, 2^135288576 is an apocalyptic number.

135288576 is a gapful number since it is divisible by the number (16) 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 135288576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214763080).

135288576 is an abundant number, since it is smaller than the sum of its proper divisors (294237584).

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

135288576 is an equidigital number, since it uses as much as digits as its factorization.

135288576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 135288576 is about 11631.3617431494. The cubic root of 135288576 is about 513.3580483219.

The spelling of 135288576 in words is "one hundred thirty-five million, two hundred eighty-eight thousand, five hundred seventy-six".