135604355501604 has 1152 divisors, whose sum is σ = 408880938977280. Its totient is φ = 34503727104000.

The previous prime is 135604355501579. The next prime is 135604355501677. The reversal of 135604355501604 is 406105553406531.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 149508660519 + ... + 149508661425.

It is an arithmetic number, because the mean of its divisors is an integer number (354931370640).

Almost surely, 2^{135604355501604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135604355501604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204440469488640).

135604355501604 is an abundant number, since it is smaller than the sum of its proper divisors (273276583475676).

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

135604355501604 is a wasteful number, since it uses less digits than its factorization.

135604355501604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 135604355501604 in words is "one hundred thirty-five trillion, six hundred four billion, three hundred fifty-five million, five hundred one thousand, six hundred four".