138601 has 8 divisors (see below), whose sum is σ = 152064. Its totient is φ = 125760.

The previous prime is 138599. The next prime is 138617. The reversal of 138601 is 106831.

138601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

138601 is a nontrivial binomial coefficient, being equal to C(527, 2).

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

It is a cyclic number.

It is not a de Polignac number, because 138601 - 2¹ = 138599 is a prime.

It is a Duffinian number.

138601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (138641) 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, 396 + ... + 658.

It is an arithmetic number, because the mean of its divisors is an integer number (19008).

2¹³⁸⁶⁰¹ is an apocalyptic number.

138601 is the 526-th triangular number.

138601 is the 176-th centered nonagonal number.

It is an amenable number.

138601 is a deficient number, since it is larger than the sum of its proper divisors (13463).

138601 is a wasteful number, since it uses less digits than its factorization.

138601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 138601 is about 372.2915524156. The cubic root of 138601 is about 51.7514021729.

It can be divided in two parts, 13860 and 1, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 138601 in words is "one hundred thirty-eight thousand, six hundred one".