135114329630592 has 1536 divisors, whose sum is σ = 467064299520000. Its totient is φ = 37090985508864.

The previous prime is 135114329630591. The next prime is 135114329630597. The reversal of 135114329630592 is 295036923411531.

It is a happy number.

135114329630592 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 4 + 329 + 6 + 305 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135114329630591) 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 191 ways as a sum of consecutive naturals, for example, 96579219909 + ... + 96579221307.

It is an arithmetic number, because the mean of its divisors is an integer number (304078320000).

Almost surely, 2^{135114329630592} is an apocalyptic number.

135114329630592 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 135114329630592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233532149760000).

135114329630592 is an abundant number, since it is smaller than the sum of its proper divisors (331949969889408).

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

135114329630592 is a wasteful number, since it uses less digits than its factorization.

135114329630592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 135114329630592 in words is "one hundred thirty-five trillion, one hundred fourteen billion, three hundred twenty-nine million, six hundred thirty thousand, five hundred ninety-two".