212000137 has 2 divisors, whose sum is σ = 212000138. Its totient is φ = 212000136.

The previous prime is 212000101. The next prime is 212000143. The reversal of 212000137 is 731000212.

It is a happy number.

212000137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170668096 + 41332041 = 13064^2 + 6429^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000137 - 2¹⁵ = 211967369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212000137.

It is not a weakly prime, because it can be changed into another prime (212000147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000068 + 106000069.

It is an arithmetic number, because the mean of its divisors is an integer number (106000069).

Almost surely, 2^212000137 is an apocalyptic number.

It is an amenable number.

212000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000137 is an equidigital number, since it uses as much as digits as its factorization.

212000137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 212000137 is about 14560.2244831596. The cubic root of 212000137 is about 596.2733242168.

Adding to 212000137 its reverse (731000212), we get a palindrome (943000349).

The spelling of 212000137 in words is "two hundred twelve million, one hundred thirty-seven", and thus it is an aban number.