136408114656 has 72 divisors (see below), whose sum is σ = 423175183704. Its totient is φ = 41335791360.

The previous prime is 136408114643. The next prime is 136408114657. The reversal of 136408114656 is 656411804631.

136408114656 is a `hidden beast` number, since 136 + 40 + 8 + 11 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136408114657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21525891 + ... + 21532226.

It is an arithmetic number, because the mean of its divisors is an integer number (5877433107).

Almost surely, 2^136408114656 is an apocalyptic number.

136408114656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136408114656 is an abundant number, since it is smaller than the sum of its proper divisors (286767069048).

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

136408114656 is a wasteful number, since it uses less digits than its factorization.

136408114656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43058144 (or 43058133 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 136408114656 in words is "one hundred thirty-six billion, four hundred eight million, one hundred fourteen thousand, six hundred fifty-six".