137839201 has 2 divisors, whose sum is σ = 137839202. Its totient is φ = 137839200.

The previous prime is 137839153. The next prime is 137839241. The reversal of 137839201 is 102938731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131331600 + 6507601 = 11460^2 + 2551^2 .

It is a cyclic number.

It is not a de Polignac number, because 137839201 - 2⁷ = 137839073 is a prime.

It is not a weakly prime, because it can be changed into another prime (137839241) 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, 68919600 + 68919601.

It is an arithmetic number, because the mean of its divisors is an integer number (68919601).

Almost surely, 2^137839201 is an apocalyptic number.

It is an amenable number.

137839201 is a deficient number, since it is larger than the sum of its proper divisors (1).

137839201 is an equidigital number, since it uses as much as digits as its factorization.

137839201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 137839201 is about 11740.4940696719. The cubic root of 137839201 is about 516.5641339837.

The spelling of 137839201 in words is "one hundred thirty-seven million, eight hundred thirty-nine thousand, two hundred one".