138953 has 4 divisors (see below), whose sum is σ = 139728. Its totient is φ = 138180.

The previous prime is 138937. The next prime is 138959. The reversal of 138953 is 359831.

138953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 359831 = 587 ⋅613.

It is a cyclic number.

It is not a de Polignac number, because 138953 - 2⁴ = 138937 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (138959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (34932).

2¹³⁸⁹⁵³ is an apocalyptic number.

It is an amenable number.

138953 is a deficient number, since it is larger than the sum of its proper divisors (775).

138953 is an equidigital number, since it uses as much as digits as its factorization.

138953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774.

The product of its digits is 3240, while the sum is 29.

The square root of 138953 is about 372.7640004078. The cubic root of 138953 is about 51.7951755320.

The spelling of 138953 in words is "one hundred thirty-eight thousand, nine hundred fifty-three".