135133202126112 has 96 divisors (see below), whose sum is σ = 364559108316480. Its totient is φ = 43804730188800.

The previous prime is 135133202126063. The next prime is 135133202126119. The reversal of 135133202126112 is 211621202331531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×135133202126112³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135133202126119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70530139 + ... + 72420762.

It is an arithmetic number, because the mean of its divisors is an integer number (3797490711630).

Almost surely, 2^{135133202126112} is an apocalyptic number.

135133202126112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135133202126112 is an abundant number, since it is smaller than the sum of its proper divisors (229425906190368).

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

135133202126112 is a wasteful number, since it uses less digits than its factorization.

135133202126112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142951186 (or 142951178 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 135133202126112 its reverse (211621202331531), we get a palindrome (346754404457643).

The spelling of 135133202126112 in words is "one hundred thirty-five trillion, one hundred thirty-three billion, two hundred two million, one hundred twenty-six thousand, one hundred twelve".