138048 has 28 divisors (see below), whose sum is σ = 365760. Its totient is φ = 45952.

The previous prime is 138041. The next prime is 138053. The reversal of 138048 is 840831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138048.

It is not an unprimeable number, because it can be changed into a prime (138041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 551.

2¹³⁸⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

138048 is an abundant number, since it is smaller than the sum of its proper divisors (227712).

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

138048 is an equidigital number, since it uses as much as digits as its factorization.

138048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 138048 is about 371.5481126315. The cubic root of 138048 is about 51.6824833065.

Adding to 138048 its reverse (840831), we get a palindrome (978879).

The spelling of 138048 in words is "one hundred thirty-eight thousand, forty-eight".