135358720 has 72 divisors (see below), whose sum is σ = 370569024. Its totient is φ = 46405632.

The previous prime is 135358697. The next prime is 135358721. The reversal of 135358720 is 27853531.

It is not an unprimeable number, because it can be changed into a prime (135358721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1407 + ... + 16513.

It is an arithmetic number, because the mean of its divisors is an integer number (5146792).

Almost surely, 2^135358720 is an apocalyptic number.

135358720 is a gapful number since it is divisible by the number (10) 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 135358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185284512).

135358720 is an abundant number, since it is smaller than the sum of its proper divisors (235210304).

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

135358720 is an equidigital number, since it uses as much as digits as its factorization.

135358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15135 (or 15121 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 135358720 is about 11634.3766485360. The cubic root of 135358720 is about 513.4467544209.

The spelling of 135358720 in words is "one hundred thirty-five million, three hundred fifty-eight thousand, seven hundred twenty".