138807 has 16 divisors (see below), whose sum is σ = 211680. Its totient is φ = 89856.

The previous prime is 138799. The next prime is 138821. The reversal of 138807 is 708831.

It is not a de Polignac number, because 138807 - 2³ = 138799 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1383 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2¹³⁸⁸⁰⁷ is an apocalyptic number.

138807 is a deficient number, since it is larger than the sum of its proper divisors (72873).

138807 is an equidigital number, since it uses as much as digits as its factorization.

138807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 138807 is about 372.5681145777. The cubic root of 138807 is about 51.7770285189. Note that the first 3 decimals are identical.

The spelling of 138807 in words is "one hundred thirty-eight thousand, eight hundred seven".