138753361 has 2 divisors, whose sum is σ = 138753362. Its totient is φ = 138753360.

The previous prime is 138753343. The next prime is 138753379. The reversal of 138753361 is 163357831.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (138753343) and next prime (138753379).

It can be written as a sum of positive squares in only one way, i.e., 114062400 + 24690961 = 10680^2 + 4969^2 .

It is a cyclic number.

It is not a de Polignac number, because 138753361 - 2²¹ = 136656209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138753361.

It is not a weakly prime, because it can be changed into another prime (138753761) 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, 69376680 + 69376681.

It is an arithmetic number, because the mean of its divisors is an integer number (69376681).

Almost surely, 2^138753361 is an apocalyptic number.

It is an amenable number.

138753361 is a deficient number, since it is larger than the sum of its proper divisors (1).

138753361 is an equidigital number, since it uses as much as digits as its factorization.

138753361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 37.

The square root of 138753361 is about 11779.3616550304. The cubic root of 138753361 is about 517.7035828411.

The spelling of 138753361 in words is "one hundred thirty-eight million, seven hundred fifty-three thousand, three hundred sixty-one".