135290518272 has 432 divisors, whose sum is σ = 497895507200. Its totient is φ = 35679522816.

The previous prime is 135290518261. The next prime is 135290518273. The reversal of 135290518272 is 272815092531.

135290518272 is a `hidden beast` number, since 1 + 3 + 529 + 0 + 51 + 8 + 2 + 72 = 666.

135290518272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (135290518273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5648979 + ... + 5672877.

Almost surely, 2^135290518272 is an apocalyptic number.

135290518272 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 135290518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248947753600).

135290518272 is an abundant number, since it is smaller than the sum of its proper divisors (362604988928).

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

135290518272 is an equidigital number, since it uses as much as digits as its factorization.

135290518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23950 (or 23924 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 135290518272 in words is "one hundred thirty-five billion, two hundred ninety million, five hundred eighteen thousand, two hundred seventy-two".