138801 has 8 divisors (see below), whose sum is σ = 199360. Its totient is φ = 85392.

The previous prime is 138799. The next prime is 138821. The reversal of 138801 is 108831.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 138801 - 2¹ = 138799 is a prime.

It is a Duffinian number.

It is a Curzon number.

138801 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138801.

It is not an unprimeable number, because it can be changed into a prime (138821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741 + ... + 1818.

It is an arithmetic number, because the mean of its divisors is an integer number (24920).

2¹³⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

138801 is a deficient number, since it is larger than the sum of its proper divisors (60559).

138801 is a wasteful number, since it uses less digits than its factorization.

138801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 138801 is about 372.5600622718. The cubic root of 138801 is about 51.7762824791.

It can be divided in two parts, 138 and 801, that added together give a palindrome (939).

The spelling of 138801 in words is "one hundred thirty-eight thousand, eight hundred one".