138788 has 24 divisors (see below), whose sum is σ = 278712. Its totient is φ = 59904.

The previous prime is 138763. The next prime is 138793. The reversal of 138788 is 887831.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 131044 = 88^2 + 362^2 .

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 138788.

It is an unprimeable number.

138788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 806 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (11613).

2¹³⁸⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

138788 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

138788 is a wasteful number, since it uses less digits than its factorization.

138788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its digits is 10752, while the sum is 35.

The square root of 138788 is about 372.5426150120. The cubic root of 138788 is about 51.7746659857.

It can be divided in two parts, 13 and 8788, that multiplied together give a square (114244 = 338²).

The spelling of 138788 in words is "one hundred thirty-eight thousand, seven hundred eighty-eight".