135577131264 has 135 divisors (see below), whose sum is σ = 404424637617. Its totient is φ = 45174703104.

The previous prime is 135577131229. The next prime is 135577131343. The reversal of 135577131264 is 462131775531.

The square root of 135577131264 is 368208.

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

135577131264 is a `hidden beast` number, since 1 + 3 + 5 + 577 + 1 + 3 + 12 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58177440000 + 77399691264 = 241200^2 + 278208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 53020674 + ... + 53023230.

Almost surely, 2^135577131264 is an apocalyptic number.

135577131264 is the 368208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135577131264

135577131264 is an abundant number, since it is smaller than the sum of its proper divisors (268847506353).

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

135577131264 is an frugal number, since it uses more digits than its factorization.

135577131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 2562 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The spelling of 135577131264 in words is "one hundred thirty-five billion, five hundred seventy-seven million, one hundred thirty-one thousand, two hundred sixty-four".