137148637 has 2 divisors, whose sum is σ = 137148638. Its totient is φ = 137148636.

The previous prime is 137148623. The next prime is 137148647. The reversal of 137148637 is 736841731.

137148637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132457081 + 4691556 = 11509^2 + 2166^2 .

It is a cyclic number.

It is not a de Polignac number, because 137148637 - 2¹¹ = 137146589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137148637.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137148647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68574318 + 68574319.

It is an arithmetic number, because the mean of its divisors is an integer number (68574319).

Almost surely, 2^137148637 is an apocalyptic number.

It is an amenable number.

137148637 is a deficient number, since it is larger than the sum of its proper divisors (1).

137148637 is an equidigital number, since it uses as much as digits as its factorization.

137148637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84672, while the sum is 40.

The square root of 137148637 is about 11711.0476474140. The cubic root of 137148637 is about 515.7000402424.

The spelling of 137148637 in words is "one hundred thirty-seven million, one hundred forty-eight thousand, six hundred thirty-seven".