136385642017305 has 128 divisors (see below), whose sum is σ = 250762380180480. Its totient is φ = 70298032896000.

The previous prime is 136385642017297. The next prime is 136385642017397. The reversal of 136385642017305 is 503710246583631.

136385642017305 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 8 + 564 + 2 + 0 + 1 + 73 + 0 + 5 = 666.

It is not a de Polignac number, because 136385642017305 - 2³ = 136385642017297 is a prime.

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 127 ways as a sum of consecutive naturals, for example, 170914645 + ... + 171710765.

It is an arithmetic number, because the mean of its divisors is an integer number (1959081095160).

Almost surely, 2^{136385642017305} is an apocalyptic number.

136385642017305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136385642017305 is a deficient number, since it is larger than the sum of its proper divisors (114376738163175).

136385642017305 is a wasteful number, since it uses less digits than its factorization.

136385642017305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796560 (or 796554 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 136385642017305 in words is "one hundred thirty-six trillion, three hundred eighty-five billion, six hundred forty-two million, seventeen thousand, three hundred five".