135409504608 has 144 divisors (see below), whose sum is σ = 463243173120. Its totient is φ = 36652186368.

The previous prime is 135409504577. The next prime is 135409504613. The reversal of 135409504608 is 806405904531.

135409504608 is a `hidden beast` number, since 1 + 35 + 4 + 0 + 9 + 5 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1729260 + ... + 1805867.

It is an arithmetic number, because the mean of its divisors is an integer number (3216966480).

Almost surely, 2^135409504608 is an apocalyptic number.

135409504608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135409504608 is an abundant number, since it is smaller than the sum of its proper divisors (327833668512).

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

135409504608 is a wasteful number, since it uses less digits than its factorization.

135409504608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535169 (or 3535158 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 135409504608 in words is "one hundred thirty-five billion, four hundred nine million, five hundred four thousand, six hundred eight".