138342339136 has 63 divisors (see below), whose sum is σ = 289850565459. Its totient is φ = 65503801728.

The previous prime is 138342339103. The next prime is 138342339137. The reversal of 138342339136 is 631933243831.

The square root of 138342339136 is 371944.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138342339137) 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 8 ways as a sum of consecutive naturals, for example, 56534265 + ... + 56536711.

Almost surely, 2^138342339136 is an apocalyptic number.

138342339136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138342339136 is the 371944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138342339136

138342339136 is an abundant number, since it is smaller than the sum of its proper divisors (151508226323).

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

138342339136 is an frugal number, since it uses more digits than its factorization.

138342339136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 2468 counting only the distinct ones).

The product of its digits is 839808, while the sum is 46.

The spelling of 138342339136 in words is "one hundred thirty-eight billion, three hundred forty-two million, three hundred thirty-nine thousand, one hundred thirty-six".