18240123136 has 81 divisors (see below), whose sum is σ = 38164812231. Its totient is φ = 8699767296.

The previous prime is 18240123133. The next prime is 18240123149. The reversal of 18240123136 is 63132104281.

The square root of 18240123136 is 135056.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18240123098 and 18240123107.

It is not an unprimeable number, because it can be changed into a prime (18240123133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49700425 + ... + 49700791.

Almost surely, 2^18240123136 is an apocalyptic number.

18240123136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18240123136 is the 135056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18240123136

18240123136 is an abundant number, since it is smaller than the sum of its proper divisors (19924689095).

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

18240123136 is an frugal number, since it uses more digits than its factorization.

18240123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

It can be divided in two parts, 18240 and 123136, that added together give a square (141376 = 376²).

The spelling of 18240123136 in words is "eighteen billion, two hundred forty million, one hundred twenty-three thousand, one hundred thirty-six".