138431620096 has 297 divisors, whose sum is σ = 356191700571. Its totient is φ = 53577216000.

The previous prime is 138431620037. The next prime is 138431620097. The reversal of 138431620096 is 690026134831.

The square root of 138431620096 is 372064.

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

It is not an unprimeable number, because it can be changed into a prime (138431620097) 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, 916765621 + ... + 916765771.

Almost surely, 2^138431620096 is an apocalyptic number.

138431620096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138431620096 is the 372064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138431620096

138431620096 is an abundant number, since it is smaller than the sum of its proper divisors (217760080475).

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

138431620096 is an equidigital number, since it uses as much as digits as its factorization.

138431620096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 138431620096 in words is "one hundred thirty-eight billion, four hundred thirty-one million, six hundred twenty thousand, ninety-six".