137405293 has 2 divisors, whose sum is σ = 137405294. Its totient is φ = 137405292.

The previous prime is 137405287. The next prime is 137405327. The reversal of 137405293 is 392504731.

It is an a-pointer prime, because the next prime (137405327) can be obtained adding 137405293 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137405284 + 9 = 11722^2 + 3^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137405293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137400293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68702646 + 68702647.

It is an arithmetic number, because the mean of its divisors is an integer number (68702647).

Almost surely, 2^137405293 is an apocalyptic number.

It is an amenable number.

137405293 is a deficient number, since it is larger than the sum of its proper divisors (1).

137405293 is an equidigital number, since it uses as much as digits as its factorization.

137405293 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 137405293 is about 11722.0003838935. Note that the first 3 decimals coincide. The cubic root of 137405293 is about 516.0215285071.

The spelling of 137405293 in words is "one hundred thirty-seven million, four hundred five thousand, two hundred ninety-three".