135610368 has 120 divisors (see below), whose sum is σ = 377475840. Its totient is φ = 43253760.

The previous prime is 135610367. The next prime is 135610403. The reversal of 135610368 is 863016531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135610361) 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 7 ways as a sum of consecutive naturals, for example, 1523668 + ... + 1523756.

It is an arithmetic number, because the mean of its divisors is an integer number (3145632).

Almost surely, 2^135610368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188737920).

135610368 is an abundant number, since it is smaller than the sum of its proper divisors (241865472).

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

135610368 is an frugal number, since it uses more digits than its factorization.

135610368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 135610368 is about 11645.1864733889. The cubic root of 135610368 is about 513.7647436880.

Adding to 135610368 its reverse (863016531), we get a palindrome (998626899).

The spelling of 135610368 in words is "one hundred thirty-five million, six hundred ten thousand, three hundred sixty-eight".