136065093120 has 480 divisors, whose sum is σ = 516318248160. Its totient is φ = 32841400320.

The previous prime is 136065093083. The next prime is 136065093139. The reversal of 136065093120 is 21390560631.

136065093120 is a `hidden beast` number, since 13 + 606 + 5 + 0 + 9 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65133036 + ... + 65135124.

It is an arithmetic number, because the mean of its divisors is an integer number (1075663017).

Almost surely, 2^136065093120 is an apocalyptic number.

136065093120 is a gapful number since it is divisible by the number (10) 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 136065093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258159124080).

136065093120 is an abundant number, since it is smaller than the sum of its proper divisors (380253155040).

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

136065093120 is a wasteful number, since it uses less digits than its factorization.

136065093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 136065093120 in words is "one hundred thirty-six billion, sixty-five million, ninety-three thousand, one hundred twenty".