135227647296 has 252 divisors, whose sum is σ = 477412715988. Its totient is φ = 36363608064.

The previous prime is 135227647187. The next prime is 135227647333. The reversal of 135227647296 is 692746722531.

135227647296 is a `hidden beast` number, since 1 + 3 + 522 + 76 + 47 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51438240000 + 83789407296 = 226800^2 + 289464^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×135227647296² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338890 + ... + 620726.

Almost surely, 2^135227647296 is an apocalyptic number.

135227647296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135227647296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238706357994).

135227647296 is an abundant number, since it is smaller than the sum of its proper divisors (342185068692).

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

135227647296 is a wasteful number, since it uses less digits than its factorization.

135227647296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281886 (or 281866 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 135227647296 in words is "one hundred thirty-five billion, two hundred twenty-seven million, six hundred forty-seven thousand, two hundred ninety-six".