137166241 has 2 divisors, whose sum is σ = 137166242. Its totient is φ = 137166240.

The previous prime is 137166203. The next prime is 137166277. The reversal of 137166241 is 142661731.

137166241 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., 111197025 + 25969216 = 10545^2 + 5096^2 .

It is an emirp because it is prime and its reverse (142661731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137166241 - 2¹¹ = 137164193 is a prime.

It is not a weakly prime, because it can be changed into another prime (137166541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68583120 + 68583121.

It is an arithmetic number, because the mean of its divisors is an integer number (68583121).

Almost surely, 2^137166241 is an apocalyptic number.

It is an amenable number.

137166241 is a deficient number, since it is larger than the sum of its proper divisors (1).

137166241 is an equidigital number, since it uses as much as digits as its factorization.

137166241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6048, while the sum is 31.

The square root of 137166241 is about 11711.7992212982. The cubic root of 137166241 is about 515.7221038840.

The spelling of 137166241 in words is "one hundred thirty-seven million, one hundred sixty-six thousand, two hundred forty-one".