138429 has 10 divisors (see below), whose sum is σ = 206910. Its totient is φ = 92232.

The previous prime is 138427. The next prime is 138433. The reversal of 138429 is 924831.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 39204 = 315^2 + 198^2 .

It is not a de Polignac number, because 138429 - 2¹ = 138427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 1 + 3³ + 4⁴ + 8³ + 2¹⁷ + 9⁴ .

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 774 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (20691).

2¹³⁸⁴²⁹ is an apocalyptic number.

It is an amenable number.

138429 is a deficient number, since it is larger than the sum of its proper divisors (68481).

138429 is an equidigital number, since it uses as much as digits as its factorization.

138429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1712 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 138429 is about 372.0604789547. The cubic root of 138429 is about 51.7299859595.

The spelling of 138429 in words is "one hundred thirty-eight thousand, four hundred twenty-nine".