135122304 has 64 divisors (see below), whose sum is σ = 370529280. Its totient is φ = 43584000.

The previous prime is 135122279. The next prime is 135122329. The reversal of 135122304 is 403221531.

It is an interprime number because it is at equal distance from previous prime (135122279) and next prime (135122329).

It is a tau number, because it is divible by the number of its divisors (64).

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, 6229 + ... + 17579.

It is an arithmetic number, because the mean of its divisors is an integer number (5789520).

Almost surely, 2^135122304 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 135122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185264640).

135122304 is an abundant number, since it is smaller than the sum of its proper divisors (235406976).

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

135122304 is a wasteful number, since it uses less digits than its factorization.

135122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11399 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 135122304 is about 11624.2119732909. The cubic root of 135122304 is about 513.1476534650.

Adding to 135122304 its reverse (403221531), we get a palindrome (538343835).

The spelling of 135122304 in words is "one hundred thirty-five million, one hundred twenty-two thousand, three hundred four".