135356312 has 64 divisors (see below), whose sum is σ = 330765120. Its totient is φ = 50393088.

The previous prime is 135356297. The next prime is 135356359. The reversal of 135356312 is 213653531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6908 + ... + 17844.

It is an arithmetic number, because the mean of its divisors is an integer number (5168205).

Almost surely, 2^135356312 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 135356312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165382560).

135356312 is an abundant number, since it is smaller than the sum of its proper divisors (195408808).

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

135356312 is a wasteful number, since it uses less digits than its factorization.

135356312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980 (or 10976 counting only the distinct ones).

The product of its digits is 8100, while the sum is 29.

The square root of 135356312 is about 11634.2731616547. The cubic root of 135356312 is about 513.4437097036.

The spelling of 135356312 in words is "one hundred thirty-five million, three hundred fifty-six thousand, three hundred twelve".