138205944 has 48 divisors (see below), whose sum is σ = 382281120. Its totient is φ = 45087360.

The previous prime is 138205901. The next prime is 138205979. The reversal of 138205944 is 449502831.

It is a super-2 number, since 2×138205944² = 38201765913862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138205899 and 138205908.

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, 17037 + ... + 23804.

It is an arithmetic number, because the mean of its divisors is an integer number (7964190).

Almost surely, 2^138205944 is an apocalyptic number.

It is an amenable number.

138205944 is an abundant number, since it is smaller than the sum of its proper divisors (244075176).

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

138205944 is a wasteful number, since it uses less digits than its factorization.

138205944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40900 (or 40893 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 138205944 is about 11756.1024153416. The cubic root of 138205944 is about 517.0218618034.

The spelling of 138205944 in words is "one hundred thirty-eight million, two hundred five thousand, nine hundred forty-four".