138356 has 6 divisors (see below), whose sum is σ = 242130. Its totient is φ = 69176.

The previous prime is 138349. The next prime is 138371. The reversal of 138356 is 653831.

138356 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 67600 = 266^2 + 260^2 .

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3 + 3⁹ + 8⁵ + 5⁷ + 6⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17291 + ... + 17298.

It is an arithmetic number, because the mean of its divisors is an integer number (40355).

2¹³⁸³⁵⁶ is an apocalyptic number.

It is an amenable number.

138356 is a deficient number, since it is larger than the sum of its proper divisors (103774).

138356 is a wasteful number, since it uses less digits than its factorization.

138356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34593 (or 34591 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 138356 is about 371.9623636875. The cubic root of 138356 is about 51.7208911576.

It can be divided in two parts, 138 and 356, that added together give a palindrome (494).

The spelling of 138356 in words is "one hundred thirty-eight thousand, three hundred fifty-six".