135242208 has 144 divisors (see below), whose sum is σ = 425277216. Its totient is φ = 40550400.

The previous prime is 135242207. The next prime is 135242249. The reversal of 135242208 is 802242531.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135242201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112008 + ... + 113208.

It is an arithmetic number, because the mean of its divisors is an integer number (2953314).

Almost surely, 2^135242208 is an apocalyptic number.

135242208 is a gapful number since it is divisible by the number (18) 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 135242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212638608).

135242208 is an abundant number, since it is smaller than the sum of its proper divisors (290035008).

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

135242208 is a wasteful number, since it uses less digits than its factorization.

135242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 135242208 is about 11629.3683405420. The cubic root of 135242208 is about 513.2993931946.

Adding to 135242208 its reverse (802242531), we get a palindrome (937484739).

The spelling of 135242208 in words is "one hundred thirty-five million, two hundred forty-two thousand, two hundred eight".