138496 has 18 divisors (see below), whose sum is σ = 276962. Its totient is φ = 69120.

The previous prime is 138493. The next prime is 138497. The reversal of 138496 is 694831.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 25600 = 336^2 + 160^2 .

It is a super-3 number, since 3×138496³ = 7969534333943808, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15 + ... + 526.

2¹³⁸⁴⁹⁶ is an apocalyptic number.

138496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138496 is a deficient number, since it is larger than the sum of its proper divisors (138466).

138496 is an frugal number, since it uses more digits than its factorization.

138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 543 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 138496 is about 372.1505071876. The cubic root of 138496 is about 51.7383304298.

The spelling of 138496 in words is "one hundred thirty-eight thousand, four hundred ninety-six".