135225316121 has 24 divisors (see below), whose sum is σ = 159963527304. Its totient is φ = 113948916480.

The previous prime is 135225316097. The next prime is 135225316151. The reversal of 135225316121 is 121613522531.

It can be written as a sum of positive squares in 4 ways, for example, as 37218126400 + 98007189721 = 192920^2 + 313061^2 .

It is a de Polignac number, because none of the positive numbers 2^k-135225316121 is a prime.

It is a super-2 number, since 2×135225316121² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135225316151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6424811 + ... + 6445823.

It is an arithmetic number, because the mean of its divisors is an integer number (6665146971).

Almost surely, 2^135225316121 is an apocalyptic number.

It is an amenable number.

135225316121 is a deficient number, since it is larger than the sum of its proper divisors (24738211183).

135225316121 is a wasteful number, since it uses less digits than its factorization.

135225316121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23241 (or 23234 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

Adding to 135225316121 its reverse (121613522531), we get a palindrome (256838838652).

The spelling of 135225316121 in words is "one hundred thirty-five billion, two hundred twenty-five million, three hundred sixteen thousand, one hundred twenty-one".