135312020 has 24 divisors (see below), whose sum is σ = 285971784. Its totient is φ = 53778816.

The previous prime is 135311989. The next prime is 135312029. The reversal of 135312020 is 20213531.

135312020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1817104 + 133494916 = 1348^2 + 11554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135312020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135312029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18407 + ... + 24686.

It is an arithmetic number, because the mean of its divisors is an integer number (11915491).

Almost surely, 2^135312020 is an apocalyptic number.

135312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135312020 is an abundant number, since it is smaller than the sum of its proper divisors (150659764).

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

135312020 is a wasteful number, since it uses less digits than its factorization.

135312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43259 (or 43257 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 135312020 is about 11632.3694920682. The cubic root of 135312020 is about 513.3876996822.

Adding to 135312020 its reverse (20213531), we get a palindrome (155525551).

It can be divided in two parts, 13531 and 2020, that added together give a palindrome (15551).

The spelling of 135312020 in words is "one hundred thirty-five million, three hundred twelve thousand, twenty".