138545 has 12 divisors (see below), whose sum is σ = 183540. Its totient is φ = 100320.

The previous prime is 138517. The next prime is 138547. The reversal of 138545 is 545831.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 43681 = 308^2 + 209^2 .

It is not a de Polignac number, because 138545 - 2⁸ = 138289 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (15295).

2¹³⁸⁵⁴⁵ is an apocalyptic number.

It is an amenable number.

138545 is a deficient number, since it is larger than the sum of its proper divisors (44995).

138545 is a wasteful number, since it uses less digits than its factorization.

138545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 138545 is about 372.2163349451. The cubic root of 138545 is about 51.7444313984.

It can be divided in two parts, 13 and 8545, that added together give a palindrome (8558).

The spelling of 138545 in words is "one hundred thirty-eight thousand, five hundred forty-five".