138127743 has 24 divisors (see below), whose sum is σ = 216856640. Its totient is φ = 84214080.

The previous prime is 138127727. The next prime is 138127747. The reversal of 138127743 is 347721831.

138127743 is a `hidden beast` number, since 1 + 381 + 277 + 4 + 3 = 666.

It is not a de Polignac number, because 138127743 - 2⁴ = 138127727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138127698 and 138127707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138127747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7338 + ... + 18168.

Almost surely, 2^138127743 is an apocalyptic number.

138127743 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

138127743 is a deficient number, since it is larger than the sum of its proper divisors (78728897).

138127743 is a wasteful number, since it uses less digits than its factorization.

138127743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10959 (or 10956 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 138127743 is about 11752.7759699571. The cubic root of 138127743 is about 516.9243279983.

The spelling of 138127743 in words is "one hundred thirty-eight million, one hundred twenty-seven thousand, seven hundred forty-three".