137006407 has 2 divisors, whose sum is σ = 137006408. Its totient is φ = 137006406.

The previous prime is 137006393. The next prime is 137006413. The reversal of 137006407 is 704600731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137006407 - 2⁷ = 137006279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137006447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68503203 + 68503204.

It is an arithmetic number, because the mean of its divisors is an integer number (68503204).

Almost surely, 2^137006407 is an apocalyptic number.

137006407 is a deficient number, since it is larger than the sum of its proper divisors (1).

137006407 is an equidigital number, since it uses as much as digits as its factorization.

137006407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 137006407 is about 11704.9736009954. The cubic root of 137006407 is about 515.5217096659.

The spelling of 137006407 in words is "one hundred thirty-seven million, six thousand, four hundred seven".