137201123 has 2 divisors, whose sum is σ = 137201124. Its totient is φ = 137201122.

The previous prime is 137201111. The next prime is 137201149. The reversal of 137201123 is 321102731.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137201123 - 2¹⁸ = 136938979 is a prime.

It is a super-2 number, since 2×137201123² = 37648296304922258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137201095 and 137201104.

It is not a weakly prime, because it can be changed into another prime (137206123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68600561 + 68600562.

It is an arithmetic number, because the mean of its divisors is an integer number (68600562).

Almost surely, 2^137201123 is an apocalyptic number.

137201123 is a deficient number, since it is larger than the sum of its proper divisors (1).

137201123 is an equidigital number, since it uses as much as digits as its factorization.

137201123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 137201123 is about 11713.2883085835. The cubic root of 137201123 is about 515.7658170056.

Adding to 137201123 its reverse (321102731), we get a palindrome (458303854).

The spelling of 137201123 in words is "one hundred thirty-seven million, two hundred one thousand, one hundred twenty-three".