138425 has 18 divisors (see below), whose sum is σ = 201438. Its totient is φ = 94080.

The previous prime is 138407. The next prime is 138427. The reversal of 138425 is 524831.

138425 = T₄₈ + T₄₉ + ... + T₉₇.

138425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 137641 = 28^2 + 371^2 .

It is not a de Polignac number, because 138425 - 2¹⁴ = 122041 is a prime.

It is a super-2 number, since 2×138425² = 38322961250, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 138425.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138425.

It is not an unprimeable number, because it can be changed into a prime (138427) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1169 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (11191).

2¹³⁸⁴²⁵ is an apocalyptic number.

It is an amenable number.

138425 is a deficient number, since it is larger than the sum of its proper divisors (63013).

138425 is a wasteful number, since it uses less digits than its factorization.

138425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 138425 is about 372.0551034457. The cubic root of 138425 is about 51.7294876970.

The spelling of 138425 in words is "one hundred thirty-eight thousand, four hundred twenty-five".