138742095361 has 3 divisors (see below), whose sum is σ = 138742467843. Its totient is φ = 138741722880.

The previous prime is 138742095311. The next prime is 138742095389. The reversal of 138742095361 is 163590247831.

The square root of 138742095361 is 372481.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 136368456961 + 2373638400 = 369281^2 + 48720^2 .

It is not a de Polignac number, because 138742095361 - 2²⁷ = 138607877633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138742095311) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 186241 + ... + 558721.

It is an arithmetic number, because the mean of its divisors is an integer number (46247489281).

It is a 1-persistent number, because it is pandigital, but 2⋅138742095361 = 277484190722 is not.

Almost surely, 2^138742095361 is an apocalyptic number.

138742095361 is the 372481-st square number.

138742095361 is the 186241-st centered octagonal number.

It is an amenable number.

138742095361 is a deficient number, since it is larger than the sum of its proper divisors (372482).

138742095361 is an frugal number, since it uses more digits than its factorization.

138742095361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744962 (or 372481 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 138742095361 by its sum of digits (49), we get a square (6798362672689 = 2607367²).

The spelling of 138742095361 in words is "one hundred thirty-eight billion, seven hundred forty-two million, ninety-five thousand, three hundred sixty-one".