137119 has 2 divisors, whose sum is σ = 137120. Its totient is φ = 137118.

The previous prime is 137117. The next prime is 137131. The reversal of 137119 is 911731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137119 - 2¹ = 137117 is a prime.

It is a super-2 number, since 2×137119² = 37603240322, which contains 22 as substring.

Together with 137117, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137119.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137117) 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 as a sum of consecutive naturals, namely, 68559 + 68560.

It is an arithmetic number, because the mean of its divisors is an integer number (68560).

2¹³⁷¹¹⁹ is an apocalyptic number.

137119 is a deficient number, since it is larger than the sum of its proper divisors (1).

137119 is an equidigital number, since it uses as much as digits as its factorization.

137119 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 189, while the sum is 22.

The square root of 137119 is about 370.2958276838. The cubic root of 137119 is about 51.5662891002.

It can be divided in two parts, 137 and 119, that added together give a 8-th power (256 = 2⁸).

The spelling of 137119 in words is "one hundred thirty-seven thousand, one hundred nineteen".