137830001 has 2 divisors, whose sum is σ = 137830002. Its totient is φ = 137830000.

The previous prime is 137829997. The next prime is 137830003. The reversal of 137830001 is 100038731.

It is a happy number.

137830001 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., 137827600 + 2401 = 11740^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 137830001 - 2² = 137829997 is a prime.

It is a Sophie Germain prime.

Together with 137830003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137830003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68915000 + 68915001.

It is an arithmetic number, because the mean of its divisors is an integer number (68915001).

Almost surely, 2^137830001 is an apocalyptic number.

It is an amenable number.

137830001 is a deficient number, since it is larger than the sum of its proper divisors (1).

137830001 is an equidigital number, since it uses as much as digits as its factorization.

137830001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 137830001 is about 11740.1022567949. The cubic root of 137830001 is about 516.5526411337.

Adding to 137830001 its reverse (100038731), we get a palindrome (237868732).

The spelling of 137830001 in words is "one hundred thirty-seven million, eight hundred thirty thousand, one".