137677537 has 2 divisors, whose sum is σ = 137677538. Its totient is φ = 137677536.

The previous prime is 137677513. The next prime is 137677567. The reversal of 137677537 is 735776731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125350416 + 12327121 = 11196^2 + 3511^2 .

It is a cyclic number.

It is not a de Polignac number, because 137677537 - 2⁷ = 137677409 is a prime.

It is not a weakly prime, because it can be changed into another prime (137677567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68838768 + 68838769.

It is an arithmetic number, because the mean of its divisors is an integer number (68838769).

Almost surely, 2^137677537 is an apocalyptic number.

It is an amenable number.

137677537 is a deficient number, since it is larger than the sum of its proper divisors (1).

137677537 is an equidigital number, since it uses as much as digits as its factorization.

137677537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648270, while the sum is 46.

The square root of 137677537 is about 11733.6071606305. The cubic root of 137677537 is about 516.3621051151.

The spelling of 137677537 in words is "one hundred thirty-seven million, six hundred seventy-seven thousand, five hundred thirty-seven".