137905637 has 2 divisors, whose sum is σ = 137905638. Its totient is φ = 137905636.

The previous prime is 137905633. The next prime is 137905679. The reversal of 137905637 is 736509731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79673476 + 58232161 = 8926^2 + 7631^2 .

It is an emirp because it is prime and its reverse (736509731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137905637 - 2² = 137905633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137905594 and 137905603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137905633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68952818 + 68952819.

It is an arithmetic number, because the mean of its divisors is an integer number (68952819).

Almost surely, 2^137905637 is an apocalyptic number.

It is an amenable number.

137905637 is a deficient number, since it is larger than the sum of its proper divisors (1).

137905637 is an equidigital number, since it uses as much as digits as its factorization.

137905637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 119070, while the sum is 41.

The square root of 137905637 is about 11743.3230816494. The cubic root of 137905637 is about 516.6471121747.

The spelling of 137905637 in words is "one hundred thirty-seven million, nine hundred five thousand, six hundred thirty-seven".