137058413 has 4 divisors (see below), whose sum is σ = 137358780. Its totient is φ = 136758048.

The previous prime is 137058401. The next prime is 137058421. The reversal of 137058413 is 314850731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 314850731 = 13 ⋅24219287.

It can be written as a sum of positive squares in 2 ways, for example, as 90573289 + 46485124 = 9517^2 + 6818^2 .

It is a cyclic number.

It is not a de Polignac number, because 137058413 - 2¹⁴ = 137042029 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137058413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137058463) 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 3 ways as a sum of consecutive naturals, for example, 149498 + ... + 150411.

It is an arithmetic number, because the mean of its divisors is an integer number (34339695).

Almost surely, 2^137058413 is an apocalyptic number.

It is an amenable number.

137058413 is a deficient number, since it is larger than the sum of its proper divisors (300367).

137058413 is an equidigital number, since it uses as much as digits as its factorization.

137058413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300366.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 137058413 is about 11707.1949244898. The cubic root of 137058413 is about 515.5869300475.

The spelling of 137058413 in words is "one hundred thirty-seven million, fifty-eight thousand, four hundred thirteen".