135550621584 has 315 divisors, whose sum is σ = 458994331467. Its totient is φ = 38649223872.

The previous prime is 135550621543. The next prime is 135550621597. The reversal of 135550621584 is 485126055531.

The square root of 135550621584 is 368172.

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

135550621584 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 5 + 0 + 62 + 1 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 278337789 + ... + 278338275.

Almost surely, 2^135550621584 is an apocalyptic number.

135550621584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135550621584 is the 368172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135550621584

135550621584 is an abundant number, since it is smaller than the sum of its proper divisors (323443709883).

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

135550621584 is an frugal number, since it uses more digits than its factorization.

135550621584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 135550621584 in words is "one hundred thirty-five billion, five hundred fifty million, six hundred twenty-one thousand, five hundred eighty-four".