135421413204564 has 18 divisors (see below), whose sum is σ = 342315238933850. Its totient is φ = 45140471068176.

The previous prime is 135421413204563. The next prime is 135421413204601. The reversal of 135421413204564 is 465402314124531.

135421413204564 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 21 + 41 + 3 + 20 + 4 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85219115216400 + 50202297988164 = 9231420^2 + 7085358^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135421413204563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1880852961139 + ... + 1880852961210.

Almost surely, 2^{135421413204564} is an apocalyptic number.

It is an amenable number.

135421413204564 is an abundant number, since it is smaller than the sum of its proper divisors (206893825729286).

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

135421413204564 is a wasteful number, since it uses less digits than its factorization.

135421413204564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761705922359 (or 3761705922354 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 135421413204564 in words is "one hundred thirty-five trillion, four hundred twenty-one billion, four hundred thirteen million, two hundred four thousand, five hundred sixty-four".