138468 has 24 divisors (see below), whose sum is σ = 352800. Its totient is φ = 41920.

The previous prime is 138461. The next prime is 138469. The reversal of 138468 is 864831.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138468.

It is not an unprimeable number, because it can be changed into a prime (138461) by changing a digit.

138468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2¹³⁸⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

138468 is an abundant number, since it is smaller than the sum of its proper divisors (214332).

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

138468 is a wasteful number, since it uses less digits than its factorization.

138468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 138468 is about 372.1128860978. The cubic root of 138468 is about 51.7348435159.

It can be divided in two parts, 138 and 468, that added together give a palindrome (606).

The spelling of 138468 in words is "one hundred thirty-eight thousand, four hundred sixty-eight".