137639 has 2 divisors, whose sum is σ = 137640. Its totient is φ = 137638.

The previous prime is 137633. The next prime is 137653. The reversal of 137639 is 936731.

137639 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (936731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137639 - 2⁴ = 137623 is a prime.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 6³ + 7⁶ + 3⁹ + 9 .

It is a plaindrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68819 + 68820.

It is an arithmetic number, because the mean of its divisors is an integer number (68820).

2¹³⁷⁶³⁹ is an apocalyptic number.

137639 is a deficient number, since it is larger than the sum of its proper divisors (1).

137639 is an equidigital number, since it uses as much as digits as its factorization.

137639 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 29.

The square root of 137639 is about 370.9973045724. The cubic root of 137639 is about 51.6313922713.

The spelling of 137639 in words is "one hundred thirty-seven thousand, six hundred thirty-nine".