137329001 has 2 divisors, whose sum is σ = 137329002. Its totient is φ = 137329000.

The previous prime is 137328959. The next prime is 137329033. The reversal of 137329001 is 100923731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136866601 + 462400 = 11699^2 + 680^2 .

It is a cyclic number.

It is not a de Polignac number, because 137329001 - 2¹⁰ = 137327977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137329051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68664500 + 68664501.

It is an arithmetic number, because the mean of its divisors is an integer number (68664501).

Almost surely, 2^137329001 is an apocalyptic number.

It is an amenable number.

137329001 is a deficient number, since it is larger than the sum of its proper divisors (1).

137329001 is an equidigital number, since it uses as much as digits as its factorization.

137329001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 137329001 is about 11718.7457093325. The cubic root of 137329001 is about 515.9260067067.

The spelling of 137329001 in words is "one hundred thirty-seven million, three hundred twenty-nine thousand, one".