138345 has 16 divisors (see below), whose sum is σ = 231552. Its totient is φ = 70400.

The previous prime is 138337. The next prime is 138349. The reversal of 138345 is 543831.

It is not a de Polignac number, because 138345 - 2³ = 138337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (14472).

2¹³⁸³⁴⁵ is an apocalyptic number.

138345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138345 is a deficient number, since it is larger than the sum of its proper divisors (93207).

138345 is a wasteful number, since it uses less digits than its factorization.

138345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 1440, while the sum is 24.

The square root of 138345 is about 371.9475769514. The cubic root of 138345 is about 51.7195204307.

The spelling of 138345 in words is "one hundred thirty-eight thousand, three hundred forty-five".