138737 has 4 divisors (see below), whose sum is σ = 146916. Its totient is φ = 130560.

The previous prime is 138731. The next prime is 138739. The reversal of 138737 is 737831.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 737831 = 31 ⋅23801.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 58081 = 284^2 + 241^2 .

It is not a de Polignac number, because 138737 - 2¹⁰ = 137713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138731) 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, 4064 + ... + 4097.

It is an arithmetic number, because the mean of its divisors is an integer number (36729).

2¹³⁸⁷³⁷ is an apocalyptic number.

138737 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138737 is a deficient number, since it is larger than the sum of its proper divisors (8179).

138737 is an equidigital number, since it uses as much as digits as its factorization.

138737 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8178.

The product of its digits is 3528, while the sum is 29.

The square root of 138737 is about 372.4741601776. The cubic root of 138737 is about 51.7683233829.

The spelling of 138737 in words is "one hundred thirty-eight thousand, seven hundred thirty-seven".