137908541 has 2 divisors, whose sum is σ = 137908542. Its totient is φ = 137908540.

The previous prime is 137908523. The next prime is 137908549. The reversal of 137908541 is 145809731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126652516 + 11256025 = 11254^2 + 3355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137908541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137908495 and 137908504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137908549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68954270 + 68954271.

It is an arithmetic number, because the mean of its divisors is an integer number (68954271).

Almost surely, 2^137908541 is an apocalyptic number.

It is an amenable number.

137908541 is a deficient number, since it is larger than the sum of its proper divisors (1).

137908541 is an equidigital number, since it uses as much as digits as its factorization.

137908541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 137908541 is about 11743.4467257275. The cubic root of 137908541 is about 516.6507386464.

The spelling of 137908541 in words is "one hundred thirty-seven million, nine hundred eight thousand, five hundred forty-one".