137976409 has 2 divisors, whose sum is σ = 137976410. Its totient is φ = 137976408.

The previous prime is 137976343. The next prime is 137976413. The reversal of 137976409 is 904679731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126225225 + 11751184 = 11235^2 + 3428^2 .

It is a cyclic number.

It is not a de Polignac number, because 137976409 - 2⁹ = 137975897 is a prime.

It is not a weakly prime, because it can be changed into another prime (137970409) 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, 68988204 + 68988205.

It is an arithmetic number, because the mean of its divisors is an integer number (68988205).

Almost surely, 2^137976409 is an apocalyptic number.

It is an amenable number.

137976409 is a deficient number, since it is larger than the sum of its proper divisors (1).

137976409 is an equidigital number, since it uses as much as digits as its factorization.

137976409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 137976409 is about 11746.3359819137. The cubic root of 137976409 is about 516.7354766951.

The spelling of 137976409 in words is "one hundred thirty-seven million, nine hundred seventy-six thousand, four hundred nine".