137686001 has 2 divisors, whose sum is σ = 137686002. Its totient is φ = 137686000.

The previous prime is 137685949. The next prime is 137686037. The reversal of 137686001 is 100686731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137007025 + 678976 = 11705^2 + 824^2 .

It is a cyclic number.

It is not a de Polignac number, because 137686001 - 2²⁶ = 70577137 is a prime.

It is not a weakly prime, because it can be changed into another prime (137686061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68843000 + 68843001.

It is an arithmetic number, because the mean of its divisors is an integer number (68843001).

Almost surely, 2^137686001 is an apocalyptic number.

It is an amenable number.

137686001 is a deficient number, since it is larger than the sum of its proper divisors (1).

137686001 is an equidigital number, since it uses as much as digits as its factorization.

137686001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 137686001 is about 11733.9678284884. The cubic root of 137686001 is about 516.3726863602.

The spelling of 137686001 in words is "one hundred thirty-seven million, six hundred eighty-six thousand, one".