135105312 has 96 divisors (see below), whose sum is σ = 378943488. Its totient is φ = 42045696.

The previous prime is 135105277. The next prime is 135105317. The reversal of 135105312 is 213501531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (135105317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94233 + ... + 95655.

It is an arithmetic number, because the mean of its divisors is an integer number (3947328).

Almost surely, 2^135105312 is an apocalyptic number.

135105312 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 135105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189471744).

135105312 is an abundant number, since it is smaller than the sum of its proper divisors (243838176).

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

135105312 is a wasteful number, since it uses less digits than its factorization.

135105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1494 counting only the distinct ones).

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

The square root of 135105312 is about 11623.4810620571. The cubic root of 135105312 is about 513.1261426554.

Adding to 135105312 its reverse (213501531), we get a palindrome (348606843).

The spelling of 135105312 in words is "one hundred thirty-five million, one hundred five thousand, three hundred twelve".