137421413 has 2 divisors, whose sum is σ = 137421414. Its totient is φ = 137421412.

The previous prime is 137421409. The next prime is 137421437. The reversal of 137421413 is 314124731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137405284 + 16129 = 11722^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 137421413 - 2² = 137421409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137427413) 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 as a sum of consecutive naturals, namely, 68710706 + 68710707.

It is an arithmetic number, because the mean of its divisors is an integer number (68710707).

Almost surely, 2^137421413 is an apocalyptic number.

It is an amenable number.

137421413 is a deficient number, since it is larger than the sum of its proper divisors (1).

137421413 is an equidigital number, since it uses as much as digits as its factorization.

137421413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 26.

The square root of 137421413 is about 11722.6879596789. The cubic root of 137421413 is about 516.0417071130.

The spelling of 137421413 in words is "one hundred thirty-seven million, four hundred twenty-one thousand, four hundred thirteen".