135148013 has 64 divisors (see below), whose sum is σ = 193052160. Its totient is φ = 91238400.

The previous prime is 135148009. The next prime is 135148019. The reversal of 135148013 is 310841531.

It is not a de Polignac number, because 135148013 - 2² = 135148009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135148019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1518473 + ... + 1518561.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^135148013 is an apocalyptic number.

135148013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135148013 is a deficient number, since it is larger than the sum of its proper divisors (57904147).

135148013 is a wasteful number, since it uses less digits than its factorization.

135148013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 135148013 is about 11625.3177590980. The cubic root of 135148013 is about 513.1801960234.

Adding to 135148013 its reverse (310841531), we get a palindrome (445989544).

The spelling of 135148013 in words is "one hundred thirty-five million, one hundred forty-eight thousand, thirteen".