137211273 has 8 divisors (see below), whose sum is σ = 203276000. Its totient is φ = 91474164.

The previous prime is 137211259. The next prime is 137211287. The reversal of 137211273 is 372112731.

It is an interprime number because it is at equal distance from previous prime (137211259) and next prime (137211287).

It is not a de Polignac number, because 137211273 - 2⁵ = 137211241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5081899 = 137211273 / (1 + 3 + 7 + 2 + 1 + 1 + 2 + 7 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137211073) 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 in 7 ways as a sum of consecutive naturals, for example, 2540923 + ... + 2540976.

It is an arithmetic number, because the mean of its divisors is an integer number (25409500).

Almost surely, 2^137211273 is an apocalyptic number.

It is an amenable number.

137211273 is a deficient number, since it is larger than the sum of its proper divisors (66064727).

137211273 is an equidigital number, since it uses as much as digits as its factorization.

137211273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081908 (or 5081902 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 137211273 is about 11713.7215691684. The cubic root of 137211273 is about 515.7785353027.

The spelling of 137211273 in words is "one hundred thirty-seven million, two hundred eleven thousand, two hundred seventy-three".