138754358595216 has 2025 divisors, whose sum is σ = 520563129469929. Its totient is φ = 34481048329728.

The previous prime is 138754358595199. The next prime is 138754358595313. The reversal of 138754358595216 is 612595853457831.

The square root of 138754358595216 is 11779404.

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

138754358595216 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 5 + 4 + 3 + 5 + 8 + 595 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20525792691600 + 118228565903616 = 4530540^2 + 10873296^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 404 ways as a sum of consecutive naturals, for example, 2070960576015 + ... + 2070960576081.

Almost surely, 2^{138754358595216} is an apocalyptic number.

138754358595216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138754358595216 is the 11779404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138754358595216

138754358595216 is an abundant number, since it is smaller than the sum of its proper divisors (381808770874713).

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

138754358595216 is an equidigital number, since it uses as much as digits as its factorization.

138754358595216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 115 counting only the distinct ones).

The product of its digits is 1088640000, while the sum is 72.

The spelling of 138754358595216 in words is "one hundred thirty-eight trillion, seven hundred fifty-four billion, three hundred fifty-eight million, five hundred ninety-five thousand, two hundred sixteen".