135523513302112 has 96 divisors (see below), whose sum is σ = 296628726723840. Its totient is φ = 60526713231360.

The previous prime is 135523513302091. The next prime is 135523513302169. The reversal of 135523513302112 is 211203315325531.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 161930358 + ... + 162765130.

It is an arithmetic number, because the mean of its divisors is an integer number (3089882570040).

Almost surely, 2^{135523513302112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135523513302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148314363361920).

135523513302112 is an abundant number, since it is smaller than the sum of its proper divisors (161105213421728).

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

135523513302112 is a wasteful number, since it uses less digits than its factorization.

135523513302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847416 (or 847408 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

Adding to 135523513302112 its reverse (211203315325531), we get a palindrome (346726828627643).

The spelling of 135523513302112 in words is "one hundred thirty-five trillion, five hundred twenty-three billion, five hundred thirteen million, three hundred two thousand, one hundred twelve".