137038081 has 2 divisors, whose sum is σ = 137038082. Its totient is φ = 137038080.

The previous prime is 137038049. The next prime is 137038091. The reversal of 137038081 is 180830731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126900225 + 10137856 = 11265^2 + 3184^2 .

It is an emirp because it is prime and its reverse (180830731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137038081 - 2⁵ = 137038049 is a prime.

It is a super-2 number, since 2×137038081² = 37558871288325122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137038001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68519040 + 68519041.

It is an arithmetic number, because the mean of its divisors is an integer number (68519041).

Almost surely, 2^137038081 is an apocalyptic number.

It is an amenable number.

137038081 is a deficient number, since it is larger than the sum of its proper divisors (1).

137038081 is an equidigital number, since it uses as much as digits as its factorization.

137038081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 137038081 is about 11706.3265373899. The cubic root of 137038081 is about 515.5614337849.

The spelling of 137038081 in words is "one hundred thirty-seven million, thirty-eight thousand, eighty-one".