243138309120 has 880 divisors, whose sum is σ = 1012798087488. Its totient is φ = 54623600640.

The previous prime is 243138309107. The next prime is 243138309121. The reversal of 243138309120 is 21903831342.

243138309120 is a `hidden beast` number, since 24 + 313 + 8 + 309 + 12 + 0 = 666.

243138309120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243138309121) 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 79 ways as a sum of consecutive naturals, for example, 177084754 + ... + 177086126.

Almost surely, 2^243138309120 is an apocalyptic number.

243138309120 is a gapful number since it is divisible by the number (20) 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 243138309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506399043744).

243138309120 is an abundant number, since it is smaller than the sum of its proper divisors (769659778368).

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

243138309120 is a wasteful number, since it uses less digits than its factorization.

243138309120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 243138309120 in words is "two hundred forty-three billion, one hundred thirty-eight million, three hundred nine thousand, one hundred twenty".