138351 has 8 divisors (see below), whose sum is σ = 186624. Its totient is φ = 91160.

The previous prime is 138349. The next prime is 138371. The reversal of 138351 is 153831.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138351 - 2¹ = 138349 is a prime.

138351 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 536.

It is an arithmetic number, because the mean of its divisors is an integer number (23328).

2¹³⁸³⁵¹ is an apocalyptic number.

138351 is a deficient number, since it is larger than the sum of its proper divisors (48273).

138351 is a wasteful number, since it uses less digits than its factorization.

138351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541.

The product of its digits is 360, while the sum is 21.

The square root of 138351 is about 371.9556425167. The cubic root of 138351 is about 51.7202681089.

The spelling of 138351 in words is "one hundred thirty-eight thousand, three hundred fifty-one".