137727407 has 2 divisors, whose sum is σ = 137727408. Its totient is φ = 137727406.

The previous prime is 137727397. The next prime is 137727419. The reversal of 137727407 is 704727731.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 137727407 - 2¹⁶ = 137661871 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137757407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68863703 + 68863704.

It is an arithmetic number, because the mean of its divisors is an integer number (68863704).

Almost surely, 2^137727407 is an apocalyptic number.

137727407 is a deficient number, since it is larger than the sum of its proper divisors (1).

137727407 is an equidigital number, since it uses as much as digits as its factorization.

137727407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57624, while the sum is 38.

The square root of 137727407 is about 11735.7320606769. The cubic root of 137727407 is about 516.4244437027.

The spelling of 137727407 in words is "one hundred thirty-seven million, seven hundred twenty-seven thousand, four hundred seven".