137079 has 8 divisors (see below), whose sum is σ = 203120. Its totient is φ = 91368.

The previous prime is 137077. The next prime is 137087. The reversal of 137079 is 970731.

It is not a de Polignac number, because 137079 - 2¹ = 137077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5077 = 137079 / (1 + 3 + 7 + 0 + 7 + 9).

It is a Duffinian number.

137079 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2512 + ... + 2565.

It is an arithmetic number, because the mean of its divisors is an integer number (25390).

2¹³⁷⁰⁷⁹ is an apocalyptic number.

137079 is a deficient number, since it is larger than the sum of its proper divisors (66041).

137079 is an equidigital number, since it uses as much as digits as its factorization.

137079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 137079 is about 370.2418128737. The cubic root of 137079 is about 51.5612743510.

The spelling of 137079 in words is "one hundred thirty-seven thousand, seventy-nine".