138994272 has 96 divisors (see below), whose sum is σ = 426787200. Its totient is φ = 43887744.

The previous prime is 138994243. The next prime is 138994279. The reversal of 138994272 is 272499831.

138994272 is a `hidden beast` number, since 138 + 99 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138994279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12183 + ... + 20649.

It is an arithmetic number, because the mean of its divisors is an integer number (4445700).

Almost surely, 2^138994272 is an apocalyptic number.

138994272 is a gapful number since it is divisible by the number (12) 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 138994272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213393600).

138994272 is an abundant number, since it is smaller than the sum of its proper divisors (287792928).

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

138994272 is a wasteful number, since it uses less digits than its factorization.

138994272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505 (or 8491 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 138994272 is about 11789.5831987395. The cubic root of 138994272 is about 518.0030311436.

The spelling of 138994272 in words is "one hundred thirty-eight million, nine hundred ninety-four thousand, two hundred seventy-two".