135227449728 has 960 divisors, whose sum is σ = 498411429120. Its totient is φ = 36212520960.

The previous prime is 135227449717. The next prime is 135227449771. The reversal of 135227449728 is 827944722531.

135227449728 is a `hidden beast` number, since 1 + 3 + 522 + 7 + 4 + 4 + 97 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 829616175 + ... + 829616337.

It is an arithmetic number, because the mean of its divisors is an integer number (519178572).

Almost surely, 2^135227449728 is an apocalyptic number.

135227449728 is a gapful number since it is divisible by the number (18) 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 135227449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249205714560).

135227449728 is an abundant number, since it is smaller than the sum of its proper divisors (363183979392).

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

135227449728 is a wasteful number, since it uses less digits than its factorization.

135227449728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 135227449728 in words is "one hundred thirty-five billion, two hundred twenty-seven million, four hundred forty-nine thousand, seven hundred twenty-eight".