Search a number
-
+
137999 is a prime number
BaseRepresentation
bin100001101100001111
321000022002
4201230033
513403444
62542515
71113221
oct415417
9230262
10137999
1194754
1267a3b
134aa74
1438411
152ad4e
hex21b0f

137999 has 2 divisors, whose sum is σ = 138000. Its totient is φ = 137998.

The previous prime is 137993. The next prime is 138007. The reversal of 137999 is 999731.

It is a happy number.

137999 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 a cyclic number.

It is not a de Polignac number, because 137999 - 24 = 137983 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

137999 is a modest number, since divided by 999 gives 137 as remainder.

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137999.

It is not a weakly prime, because it can be changed into another prime (137993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68999 + 69000.

It is an arithmetic number, because the mean of its divisors is an integer number (69000).

2137999 is an apocalyptic number.

137999 is a deficient number, since it is larger than the sum of its proper divisors (1).

137999 is an equidigital number, since it uses as much as digits as its factorization.

137999 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15309, while the sum is 38.

The square root of 137999 is about 371.4821664629. The cubic root of 137999 is about 51.6763677009.

The spelling of 137999 in words is "one hundred thirty-seven thousand, nine hundred ninety-nine".