Search a number
137029 is a prime number
BaseRepresentation
bin100001011101000101
320221222011
4201131011
513341104
62534221
71110334
oct413505
9227864
10137029
1193a52
1267371
134a4a9
1437d1b
152a904
hex21745

137029 has 2 divisors, whose sum is σ = 137030. Its totient is φ = 137028.

The previous prime is 136999. The next prime is 137077. The reversal of 137029 is 920731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 62500 = 273^2 + 250^2 .

It is a cyclic number.

It is not a de Polignac number, because 137029 - 213 = 128837 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68514 + 68515.

It is an arithmetic number, because the mean of its divisors is an integer number (68515).

2137029 is an apocalyptic number.

It is an amenable number.

137029 is a deficient number, since it is larger than the sum of its proper divisors (1).

137029 is an equidigital number, since it uses as much as digits as its factorization.

137029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 137029 is about 370.1742832775. The cubic root of 137029 is about 51.5550045425. Note that the first 3 decimals are identical.

The spelling of 137029 in words is "one hundred thirty-seven thousand, twenty-nine".