138324486400 has 81 divisors (see below), whose sum is σ = 342448377691. Its totient is φ = 55317893120.

The previous prime is 138324486373. The next prime is 138324486407. The reversal of 138324486400 is 4684423831.

The square root of 138324486400 is 371920.

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

138324486400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31411181824 + 106913304576 = 177232^2 + 326976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138324486407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29751276 + ... + 29755924.

Almost surely, 2^138324486400 is an apocalyptic number.

138324486400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138324486400 is the 371920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138324486400

138324486400 is an abundant number, since it is smaller than the sum of its proper divisors (204123891291).

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

138324486400 is an frugal number, since it uses more digits than its factorization.

138324486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9324 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 138324486400 in words is "one hundred thirty-eight billion, three hundred twenty-four million, four hundred eighty-six thousand, four hundred".