138395 has 8 divisors (see below), whose sum is σ = 168480. Its totient is φ = 109120.

The previous prime is 138389. The next prime is 138401. The reversal of 138395 is 593831.

138395 = T₅ + T₆ + ... + T₉₃.

138395 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138389) and next prime (138401).

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

It is not a de Polignac number, because 138395 - 2⁸ = 138139 is a prime.

Its product of digits (3240) is a multiple of the sum of its prime divisors (405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2¹³⁸³⁹⁵ is an apocalyptic number.

138395 is a deficient number, since it is larger than the sum of its proper divisors (30085).

138395 is an equidigital number, since it uses as much as digits as its factorization.

138395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405.

The product of its digits is 3240, while the sum is 29.

The square root of 138395 is about 372.0147846524. The cubic root of 138395 is about 51.7257504223.

The spelling of 138395 in words is "one hundred thirty-eight thousand, three hundred ninety-five".