135023265792 has 192 divisors, whose sum is σ = 401755536000. Its totient is φ = 44807012352.

The previous prime is 135023265791. The next prime is 135023265803. The reversal of 135023265792 is 297562320531.

135023265792 is a `hidden beast` number, since 1 + 3 + 50 + 2 + 3 + 26 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (135023265791) 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, 12657453 + ... + 12668115.

It is an arithmetic number, because the mean of its divisors is an integer number (2092476750).

Almost surely, 2^135023265792 is an apocalyptic number.

135023265792 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 135023265792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200877768000).

135023265792 is an abundant number, since it is smaller than the sum of its proper divisors (266732270208).

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

135023265792 is a wasteful number, since it uses less digits than its factorization.

135023265792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10923 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 135023265792 in words is "one hundred thirty-five billion, twenty-three million, two hundred sixty-five thousand, seven hundred ninety-two".