136538123904 has 512 divisors, whose sum is σ = 508116672000. Its totient is φ = 35128442880.

The previous prime is 136538123873. The next prime is 136538124011. The reversal of 136538123904 is 409321835631.

136538123904 is a `hidden beast` number, since 1 + 3 + 6 + 538 + 1 + 23 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136538123904.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12889042 + ... + 12899630.

It is an arithmetic number, because the mean of its divisors is an integer number (992415375).

Almost surely, 2^136538123904 is an apocalyptic number.

136538123904 is a gapful number since it is divisible by the number (14) 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 136538123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254058336000).

136538123904 is an abundant number, since it is smaller than the sum of its proper divisors (371578548096).

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

136538123904 is a wasteful number, since it uses less digits than its factorization.

136538123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 136538123904 in words is "one hundred thirty-six billion, five hundred thirty-eight million, one hundred twenty-three thousand, nine hundred four".