137738537 has 2 divisors, whose sum is σ = 137738538. Its totient is φ = 137738536.

The previous prime is 137738473. The next prime is 137738563. The reversal of 137738537 is 735837731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135117376 + 2621161 = 11624^2 + 1619^2 .

It is a cyclic number.

It is not a de Polignac number, because 137738537 - 2⁶ = 137738473 is a prime.

It is not a weakly prime, because it can be changed into another prime (137738837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68869268 + 68869269.

It is an arithmetic number, because the mean of its divisors is an integer number (68869269).

Almost surely, 2^137738537 is an apocalyptic number.

It is an amenable number.

137738537 is a deficient number, since it is larger than the sum of its proper divisors (1).

137738537 is an equidigital number, since it uses as much as digits as its factorization.

137738537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 370440, while the sum is 44.

The square root of 137738537 is about 11736.2062439274. The cubic root of 137738537 is about 516.4383543914.

The spelling of 137738537 in words is "one hundred thirty-seven million, seven hundred thirty-eight thousand, five hundred thirty-seven".