137352641 has 2 divisors, whose sum is σ = 137352642. Its totient is φ = 137352640.

The previous prime is 137352623. The next prime is 137352647. The reversal of 137352641 is 146253731.

137352641 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., 93528241 + 43824400 = 9671^2 + 6620^2 .

It is a cyclic number.

It is not a de Polignac number, because 137352641 - 2²⁶ = 70243777 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137352598 and 137352607.

It is not a weakly prime, because it can be changed into another prime (137352647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68676320 + 68676321.

It is an arithmetic number, because the mean of its divisors is an integer number (68676321).

Almost surely, 2^137352641 is an apocalyptic number.

It is an amenable number.

137352641 is a deficient number, since it is larger than the sum of its proper divisors (1).

137352641 is an equidigital number, since it uses as much as digits as its factorization.

137352641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15120, while the sum is 32.

The square root of 137352641 is about 11719.7543062984. The cubic root of 137352641 is about 515.9556090751.

The spelling of 137352641 in words is "one hundred thirty-seven million, three hundred fifty-two thousand, six hundred forty-one".