67157137 has 2 divisors, whose sum is σ = 67157138. Its totient is φ = 67157136.

The previous prime is 67157107. The next prime is 67157149. The reversal of 67157137 is 73175176.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47761921 + 19395216 = 6911^2 + 4404^2 .

It is a cyclic number.

It is not a de Polignac number, because 67157137 - 2⁷ = 67157009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67157096 and 67157105.

It is not a weakly prime, because it can be changed into another prime (67157107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33578568 + 33578569.

It is an arithmetic number, because the mean of its divisors is an integer number (33578569).

Almost surely, 2^67157137 is an apocalyptic number.

It is an amenable number.

67157137 is a deficient number, since it is larger than the sum of its proper divisors (1).

67157137 is an equidigital number, since it uses as much as digits as its factorization.

67157137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30870, while the sum is 37.

The square root of 67157137 is about 8194.9458204432. The cubic root of 67157137 is about 406.4720842676.

The spelling of 67157137 in words is "sixty-seven million, one hundred fifty-seven thousand, one hundred thirty-seven".