138157 has 2 divisors, whose sum is σ = 138158. Its totient is φ = 138156.

The previous prime is 138143. The next prime is 138163. The reversal of 138157 is 751831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 44521 = 306^2 + 211^2 .

It is a cyclic number.

It is not a de Polignac number, because 138157 - 2¹⁵ = 105389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69078 + 69079.

It is an arithmetic number, because the mean of its divisors is an integer number (69079).

2¹³⁸¹⁵⁷ is an apocalyptic number.

It is an amenable number.

138157 is a deficient number, since it is larger than the sum of its proper divisors (1).

138157 is an equidigital number, since it uses as much as digits as its factorization.

138157 is an evil number, because the sum of its binary digits is even.

The product of its digits is 840, while the sum is 25.

The square root of 138157 is about 371.6947672486. The cubic root of 138157 is about 51.6960822205.

Adding to 138157 its reverse (751831), we get a palindrome (889988).

The spelling of 138157 in words is "one hundred thirty-eight thousand, one hundred fifty-seven".