135301005 has 72 divisors (see below), whose sum is σ = 279351072. Its totient is φ = 60371136.

The previous prime is 135300967. The next prime is 135301021. The reversal of 135301005 is 500103531.

It is a happy number.

It is not a de Polignac number, because 135301005 - 2⁶ = 135300941 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94102 + ... + 95528.

It is an arithmetic number, because the mean of its divisors is an integer number (3879876).

Almost surely, 2^135301005 is an apocalyptic number.

135301005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135301005 is an abundant number, since it is smaller than the sum of its proper divisors (144050067).

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

135301005 is a wasteful number, since it uses less digits than its factorization.

135301005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 135301005 is about 11631.8960191363. The cubic root of 135301005 is about 513.3737686238.

Adding to 135301005 its reverse (500103531), we get a palindrome (635404536).

It can be divided in two parts, 13530 and 1005, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 135301005 in words is "one hundred thirty-five million, three hundred one thousand, five".