138100 has 18 divisors (see below), whose sum is σ = 299894. Its totient is φ = 55200.

The previous prime is 138079. The next prime is 138101. The reversal of 138100 is 1831.

138100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 131044 = 84^2 + 362^2 .

It is a super-2 number, since 2×138100² = 38143220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138101) by changing a digit.

138100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 591 + ... + 790.

2¹³⁸¹⁰⁰ is an apocalyptic number.

138100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138100 is an abundant number, since it is smaller than the sum of its proper divisors (161794).

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

138100 is a wasteful number, since it uses less digits than its factorization.

138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 138100 is about 371.6180835212. The cubic root of 138100 is about 51.6889717544.

Adding to 138100 its reverse (1831), we get a palindrome (139931).

The spelling of 138100 in words is "one hundred thirty-eight thousand, one hundred".