136744027628256 has 72 divisors (see below), whose sum is σ = 388982153720160. Its totient is φ = 45567707360256.

The previous prime is 136744027628251. The next prime is 136744027628261. The reversal of 136744027628256 is 652826720447631.

136744027628256 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 440 + 2 + 7 + 62 + 82 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (136744027628251) and next prime (136744027628261).

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

It is a junction number, because it is equal to n+sod(n) for n = 136744027628193 and 136744027628202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136744027628251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70052121 + ... + 71977688.

It is an arithmetic number, because the mean of its divisors is an integer number (5402529912780).

Almost surely, 2^{136744027628256} is an apocalyptic number.

136744027628256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136744027628256 is an abundant number, since it is smaller than the sum of its proper divisors (252238126091904).

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

136744027628256 is a wasteful number, since it uses less digits than its factorization.

136744027628256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142033168 (or 142033157 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 136744027628256 in words is "one hundred thirty-six trillion, seven hundred forty-four billion, twenty-seven million, six hundred twenty-eight thousand, two hundred fifty-six".