137006413 has 2 divisors, whose sum is σ = 137006414. Its totient is φ = 137006412.

The previous prime is 137006407. The next prime is 137006447. The reversal of 137006413 is 314600731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136469124 + 537289 = 11682^2 + 733^2 .

It is an emirp because it is prime and its reverse (314600731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137006413 - 2¹³ = 136998221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137006483) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68503206 + 68503207.

It is an arithmetic number, because the mean of its divisors is an integer number (68503207).

Almost surely, 2^137006413 is an apocalyptic number.

It is an amenable number.

137006413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137006413 is an equidigital number, since it uses as much as digits as its factorization.

137006413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 137006413 is about 11704.9738572967. The cubic root of 137006413 is about 515.5217171914.

The spelling of 137006413 in words is "one hundred thirty-seven million, six thousand, four hundred thirteen".