135501312 has 80 divisors (see below), whose sum is σ = 380064960. Its totient is φ = 42780672.

The previous prime is 135501307. The next prime is 135501323. The reversal of 135501312 is 213105531.

135501312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26863 + ... + 31505.

It is an arithmetic number, because the mean of its divisors is an integer number (4750812).

Almost surely, 2^135501312 is an apocalyptic number.

135501312 is a gapful number since it is divisible by the number (12) 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 135501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190032480).

135501312 is an abundant number, since it is smaller than the sum of its proper divisors (244563648).

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

135501312 is an equidigital number, since it uses as much as digits as its factorization.

135501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 135501312 is about 11640.5030819119. The cubic root of 135501312 is about 513.6269858978.

Adding to 135501312 its reverse (213105531), we get a palindrome (348606843).

The spelling of 135501312 in words is "one hundred thirty-five million, five hundred one thousand, three hundred twelve".