137164000021 has 2 divisors, whose sum is σ = 137164000022. Its totient is φ = 137164000020.

The previous prime is 137164000003. The next prime is 137164000033. The reversal of 137164000021 is 120000461731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135507916996 + 1656083025 = 368114^2 + 40695^2 .

It is an emirp because it is prime and its reverse (120000461731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137164000021 - 2¹⁵ = 137163967253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137164000021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137164000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68582000010 + 68582000011.

It is an arithmetic number, because the mean of its divisors is an integer number (68582000011).

Almost surely, 2^137164000021 is an apocalyptic number.

It is an amenable number.

137164000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

137164000021 is an equidigital number, since it uses as much as digits as its factorization.

137164000021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 137164000021 its reverse (120000461731), we get a palindrome (257164461752).

The spelling of 137164000021 in words is "one hundred thirty-seven billion, one hundred sixty-four million, twenty-one", and thus it is an aban number.