138193184 has 36 divisors (see below), whose sum is σ = 276181542. Its totient is φ = 68060160.

The previous prime is 138193171. The next prime is 138193217. The reversal of 138193184 is 481391831.

It can be written as a sum of positive squares in only one way, i.e., 120384784 + 17808400 = 10972^2 + 4220^2 .

It is a super-3 number, since 3×138193184³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 654839 + ... + 655049.

Almost surely, 2^138193184 is an apocalyptic number.

It is an amenable number.

138193184 is a deficient number, since it is larger than the sum of its proper divisors (137988358).

138193184 is an frugal number, since it uses more digits than its factorization.

138193184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 310 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 138193184 is about 11755.5597059434. The cubic root of 138193184 is about 517.0059497960.

The spelling of 138193184 in words is "one hundred thirty-eight million, one hundred ninety-three thousand, one hundred eighty-four".