438138 has 24 divisors (see below), whose sum is σ = 962676. Its totient is φ = 144000.

The previous prime is 438133. The next prime is 438143. The reversal of 438138 is 831834.

It is an interprime number because it is at equal distance from previous prime (438133) and next prime (438143).

It can be written as a sum of positive squares in 2 ways, for example, as 363609 + 74529 = 603^2 + 273^2 .

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438138.

It is not an unprimeable number, because it can be changed into a prime (438131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1698 + ... + 1938.

2⁴³⁸¹³⁸ is an apocalyptic number.

438138 is an abundant number, since it is smaller than the sum of its proper divisors (524538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

438138 is a wasteful number, since it uses less digits than its factorization.

438138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 438138 is about 661.9199347353. The cubic root of 438138 is about 75.9516081596.

It can be divided in two parts, 438 and 138, that added together give a square (576 = 24²).

The spelling of 438138 in words is "four hundred thirty-eight thousand, one hundred thirty-eight".