137855413 has 2 divisors, whose sum is σ = 137855414. Its totient is φ = 137855412.

The previous prime is 137855369. The next prime is 137855423. The reversal of 137855413 is 314558731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111661489 + 26193924 = 10567^2 + 5118^2 .

It is an emirp because it is prime and its reverse (314558731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137855413 - 2²⁵ = 104300981 is a prime.

It is a super-2 number, since 2×137855413² = 38008229786801138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137855423) 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, 68927706 + 68927707.

It is an arithmetic number, because the mean of its divisors is an integer number (68927707).

Almost surely, 2^137855413 is an apocalyptic number.

It is an amenable number.

137855413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137855413 is an equidigital number, since it uses as much as digits as its factorization.

137855413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50400, while the sum is 37.

The square root of 137855413 is about 11741.1844802814. The cubic root of 137855413 is about 516.5843851396.

The spelling of 137855413 in words is "one hundred thirty-seven million, eight hundred fifty-five thousand, four hundred thirteen".