135271648512 has 1800 divisors, whose sum is σ = 581913800160. Its totient is φ = 30725775360.

The previous prime is 135271648511. The next prime is 135271648517. The reversal of 135271648512 is 215846172531.

135271648512 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 71 + 64 + 8 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135271648511) by changing a digit.

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 199 ways as a sum of consecutive naturals, for example, 7119560439 + ... + 7119560457.

Almost surely, 2^135271648512 is an apocalyptic number.

135271648512 is a gapful number since it is divisible by the number (12) 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 135271648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290956900080).

135271648512 is an abundant number, since it is smaller than the sum of its proper divisors (446642151648).

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

135271648512 is an equidigital number, since it uses as much as digits as its factorization.

135271648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 55 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 135271648512 in words is "one hundred thirty-five billion, two hundred seventy-one million, six hundred forty-eight thousand, five hundred twelve".