138756250000 has 135 divisors (see below), whose sum is σ = 338320627561. Its totient is φ = 55130000000.

The previous prime is 138756249979. The next prime is 138756250007. The reversal of 138756250000 is 52657831.

The square root of 138756250000 is 372500.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6504745104 + 132251504896 = 80652^2 + 363664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138756250007) 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 26 ways as a sum of consecutive naturals, for example, 931249926 + ... + 931250074.

Almost surely, 2^138756250000 is an apocalyptic number.

138756250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138756250000 is the 372500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138756250000

138756250000 is an abundant number, since it is smaller than the sum of its proper divisors (199564377561).

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

138756250000 is an frugal number, since it uses more digits than its factorization.

138756250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 138756250000 in words is "one hundred thirty-eight billion, seven hundred fifty-six million, two hundred fifty thousand".