137116291 has 12 divisors (see below), whose sum is σ = 148862448. Its totient is φ = 126238944.

The previous prime is 137116289. The next prime is 137116303. The reversal of 137116291 is 192611731.

It is not a de Polignac number, because 137116291 - 2¹ = 137116289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137116211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84201 + ... + 85813.

It is an arithmetic number, because the mean of its divisors is an integer number (12405204).

Almost surely, 2^137116291 is an apocalyptic number.

137116291 is a deficient number, since it is larger than the sum of its proper divisors (11746157).

137116291 is a wasteful number, since it uses less digits than its factorization.

137116291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2129 counting only the distinct ones).

The product of its digits is 2268, while the sum is 31.

The square root of 137116291 is about 11709.6665622895. Note that the first 3 decimals coincide. The cubic root of 137116291 is about 515.6594950709.

It can be divided in two parts, 13711 and 6291, that added together give a palindrome (20002).

The spelling of 137116291 in words is "one hundred thirty-seven million, one hundred sixteen thousand, two hundred ninety-one".