135623094935328 has 1152 divisors, whose sum is σ = 541095047700480. Its totient is φ = 31060252016640.

The previous prime is 135623094935327. The next prime is 135623094935413. The reversal of 135623094935328 is 823539490326531.

135623094935328 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 2 + 3 + 0 + 9 + 4 + 93 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135623094935327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4926539868 + ... + 4926567396.

It is an arithmetic number, because the mean of its divisors is an integer number (469700562240).

Almost surely, 2^{135623094935328} is an apocalyptic number.

135623094935328 is a gapful number since it is divisible by the number (18) 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 135623094935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270547523850240).

135623094935328 is an abundant number, since it is smaller than the sum of its proper divisors (405471952765152).

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

135623094935328 is a wasteful number, since it uses less digits than its factorization.

135623094935328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28342 (or 28331 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 63.

The spelling of 135623094935328 in words is "one hundred thirty-five trillion, six hundred twenty-three billion, ninety-four million, nine hundred thirty-five thousand, three hundred twenty-eight".