138357 has 6 divisors (see below), whose sum is σ = 199862. Its totient is φ = 92232.

The previous prime is 138349. The next prime is 138371. The reversal of 138357 is 753831.

138357 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 only one way, i.e., 77841 + 60516 = 279^2 + 246^2 .

It is not a de Polignac number, because 138357 - 2³ = 138349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138337) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7678 + ... + 7695.

2¹³⁸³⁵⁷ is an apocalyptic number.

It is an amenable number.

138357 is a deficient number, since it is larger than the sum of its proper divisors (61505).

138357 is a wasteful number, since it uses less digits than its factorization.

138357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15379 (or 15376 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 138357 is about 371.9637079071. The cubic root of 138357 is about 51.7210157656.

Adding to 138357 its sum of digits (27), we get a square (138384 = 372²).

The spelling of 138357 in words is "one hundred thirty-eight thousand, three hundred fifty-seven".