137127901 has 2 divisors, whose sum is σ = 137127902. Its totient is φ = 137127900.

The previous prime is 137127857. The next prime is 137127929. The reversal of 137127901 is 109721731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131125401 + 6002500 = 11451^2 + 2450^2 .

It is a cyclic number.

It is not a de Polignac number, because 137127901 - 2⁷ = 137127773 is a prime.

It is a super-2 number, since 2×137127901² = 37608122465331602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137127941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68563950 + 68563951.

It is an arithmetic number, because the mean of its divisors is an integer number (68563951).

Almost surely, 2^137127901 is an apocalyptic number.

It is an amenable number.

137127901 is a deficient number, since it is larger than the sum of its proper divisors (1).

137127901 is an equidigital number, since it uses as much as digits as its factorization.

137127901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 31.

The square root of 137127901 is about 11710.1622960572. The cubic root of 137127901 is about 515.6740487458.

The spelling of 137127901 in words is "one hundred thirty-seven million, one hundred twenty-seven thousand, nine hundred one".