138427744 has 72 divisors (see below), whose sum is σ = 341461008. Its totient is φ = 54754560.

The previous prime is 138427739. The next prime is 138427799. The reversal of 138427744 is 447724831.

It is a junction number, because it is equal to n+sod(n) for n = 138427697 and 138427706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16989 + ... + 23779.

It is an arithmetic number, because the mean of its divisors is an integer number (4742514).

Almost surely, 2^138427744 is an apocalyptic number.

138427744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138427744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170730504).

138427744 is an abundant number, since it is smaller than the sum of its proper divisors (203033264).

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

138427744 is a wasteful number, since it uses less digits than its factorization.

138427744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6813 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 138427744 is about 11765.5320321692. The cubic root of 138427744 is about 517.2982950609.

The spelling of 138427744 in words is "one hundred thirty-eight million, four hundred twenty-seven thousand, seven hundred forty-four".