164120137 has 2 divisors, whose sum is σ = 164120138. Its totient is φ = 164120136.

The previous prime is 164120087. The next prime is 164120147. The reversal of 164120137 is 731021461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157276681 + 6843456 = 12541^2 + 2616^2 .

It is an emirp because it is prime and its reverse (731021461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164120137 - 2⁷ = 164120009 is a prime.

It is not a weakly prime, because it can be changed into another prime (164120147) 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, 82060068 + 82060069.

It is an arithmetic number, because the mean of its divisors is an integer number (82060069).

Almost surely, 2^164120137 is an apocalyptic number.

It is an amenable number.

164120137 is a deficient number, since it is larger than the sum of its proper divisors (1).

164120137 is an equidigital number, since it uses as much as digits as its factorization.

164120137 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.

The square root of 164120137 is about 12810.9381779790. The cubic root of 164120137 is about 547.5039922424.

Adding to 164120137 its reverse (731021461), we get a palindrome (895141598).

The spelling of 164120137 in words is "one hundred sixty-four million, one hundred twenty thousand, one hundred thirty-seven".