137036261 has 2 divisors, whose sum is σ = 137036262. Its totient is φ = 137036260.

The previous prime is 137036233. The next prime is 137036279. The reversal of 137036261 is 162630731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125305636 + 11730625 = 11194^2 + 3425^2 .

It is a cyclic number.

It is not a de Polignac number, because 137036261 - 2¹⁴ = 137019877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137036761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68518130 + 68518131.

It is an arithmetic number, because the mean of its divisors is an integer number (68518131).

Almost surely, 2^137036261 is an apocalyptic number.

It is an amenable number.

137036261 is a deficient number, since it is larger than the sum of its proper divisors (1).

137036261 is an equidigital number, since it uses as much as digits as its factorization.

137036261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 137036261 is about 11706.2488013881. The cubic root of 137036261 is about 515.5591513878.

Adding to 137036261 its reverse (162630731), we get a palindrome (299666992).

The spelling of 137036261 in words is "one hundred thirty-seven million, thirty-six thousand, two hundred sixty-one".