135843500556864 has 189 divisors, whose sum is σ = 394185973678419. Its totient is φ = 44727964819200.

The previous prime is 135843500556733. The next prime is 135843500556887. The reversal of 135843500556864 is 468655005348531.

The square root of 135843500556864 is 11655192.

It is a perfect power (a square), and thus also a powerful number.

135843500556864 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 4 + 3 + 5 + 0 + 0 + 5 + 568 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23217139539 + ... + 23217145389.

Almost surely, 2^{135843500556864} is an apocalyptic number.

135843500556864 is the 11655192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135843500556864

135843500556864 is an abundant number, since it is smaller than the sum of its proper divisors (258342473121555).

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

135843500556864 is an frugal number, since it uses more digits than its factorization.

135843500556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 63.

The spelling of 135843500556864 in words is "one hundred thirty-five trillion, eight hundred forty-three billion, five hundred million, five hundred fifty-six thousand, eight hundred sixty-four".