135450315225 has 216 divisors, whose sum is σ = 263221400520. Its totient is φ = 66477465600.

The previous prime is 135450315211. The next prime is 135450315229. The reversal of 135450315225 is 522513054531.

135450315225 is a `hidden beast` number, since 1 + 3 + 54 + 50 + 31 + 522 + 5 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 119902220361 + 15548094864 = 346269^2 + 124692^2 .

It is not a de Polignac number, because 135450315225 - 2⁵ = 135450315193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135450315225.

It is not an unprimeable number, because it can be changed into a prime (135450315229) 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 215 ways as a sum of consecutive naturals, for example, 581331709 + ... + 581331941.

It is an arithmetic number, because the mean of its divisors is an integer number (1218617595).

Almost surely, 2^135450315225 is an apocalyptic number.

135450315225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135450315225 is a deficient number, since it is larger than the sum of its proper divisors (127771085295).

135450315225 is a wasteful number, since it uses less digits than its factorization.

135450315225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 135450315225 its reverse (522513054531), we get a palindrome (657963369756).

The spelling of 135450315225 in words is "one hundred thirty-five billion, four hundred fifty million, three hundred fifteen thousand, two hundred twenty-five".