137075261 has 2 divisors, whose sum is σ = 137075262. Its totient is φ = 137075260.

The previous prime is 137075251. The next prime is 137075297. The reversal of 137075261 is 162570731.

137075261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132388036 + 4687225 = 11506^2 + 2165^2 .

It is an emirp because it is prime and its reverse (162570731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137075261 - 2¹⁴ = 137058877 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137075221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68537630 + 68537631.

It is an arithmetic number, because the mean of its divisors is an integer number (68537631).

Almost surely, 2^137075261 is an apocalyptic number.

It is an amenable number.

137075261 is a deficient number, since it is larger than the sum of its proper divisors (1).

137075261 is an equidigital number, since it uses as much as digits as its factorization.

137075261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 137075261 is about 11707.9144598857. The cubic root of 137075261 is about 515.6080554750.

The spelling of 137075261 in words is "one hundred thirty-seven million, seventy-five thousand, two hundred sixty-one".