135604113055840 has 96 divisors (see below), whose sum is σ = 376372534831776. Its totient is φ = 45517464514560.

The previous prime is 135604113055819. The next prime is 135604113055841. The reversal of 135604113055840 is 48550311406531.

135604113055840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135604113055840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135604113055841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963353717 + ... + 2963399476.

It is an arithmetic number, because the mean of its divisors is an integer number (3920547237831).

Almost surely, 2^{135604113055840} is an apocalyptic number.

135604113055840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135604113055840 is an abundant number, since it is smaller than the sum of its proper divisors (240768421775936).

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

135604113055840 is a wasteful number, since it uses less digits than its factorization.

135604113055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926753232 (or 5926753224 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 135604113055840 in words is "one hundred thirty-five trillion, six hundred four billion, one hundred thirteen million, fifty-five thousand, eight hundred forty".