138248 has 16 divisors (see below), whose sum is σ = 282960. Its totient is φ = 62800.

The previous prime is 138247. The next prime is 138251. The reversal of 138248 is 842831.

It is a super-2 number, since 2×138248² = 38225019008, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138248.

It is not an unprimeable number, because it can be changed into a prime (138241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 698 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (17685).

2¹³⁸²⁴⁸ is an apocalyptic number.

It is an amenable number.

138248 is an abundant number, since it is smaller than the sum of its proper divisors (144712).

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

138248 is a wasteful number, since it uses less digits than its factorization.

138248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1584 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 138248 is about 371.8171593673. The cubic root of 138248 is about 51.7074299650.

It can be divided in two parts, 13824 and 8, that multiplied together give a cube (110592 = 48³).

The spelling of 138248 in words is "one hundred thirty-eight thousand, two hundred forty-eight".