135579405 has 48 divisors (see below), whose sum is σ = 238222080. Its totient is φ = 65804544.

The previous prime is 135579377. The next prime is 135579413. The reversal of 135579405 is 504975531.

It is not a de Polignac number, because 135579405 - 2⁷ = 135579277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199927 + ... + 200603.

It is an arithmetic number, because the mean of its divisors is an integer number (4962960).

Almost surely, 2^135579405 is an apocalyptic number.

135579405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135579405 is a deficient number, since it is larger than the sum of its proper divisors (102642675).

135579405 is a wasteful number, since it uses less digits than its factorization.

135579405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 39.

The square root of 135579405 is about 11643.8569640820. The cubic root of 135579405 is about 513.7256392330.

The spelling of 135579405 in words is "one hundred thirty-five million, five hundred seventy-nine thousand, four hundred five".