137781361 has 8 divisors (see below), whose sum is σ = 141561000. Its totient is φ = 134021760.

The previous prime is 137781359. The next prime is 137781367. The reversal of 137781361 is 163187731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40640625 + 97140736 = 6375^2 + 9856^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137781361 - 2¹ = 137781359 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137781361.

It is not an unprimeable number, because it can be changed into a prime (137781367) 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 in 7 ways as a sum of consecutive naturals, for example, 9495 + ... + 19123.

It is an arithmetic number, because the mean of its divisors is an integer number (17695125).

Almost surely, 2^137781361 is an apocalyptic number.

It is an amenable number.

137781361 is a deficient number, since it is larger than the sum of its proper divisors (3779639).

137781361 is an equidigital number, since it uses as much as digits as its factorization.

137781361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019.

The product of its digits is 21168, while the sum is 37.

The square root of 137781361 is about 11738.0305417902. The cubic root of 137781361 is about 516.4918704345.

The spelling of 137781361 in words is "one hundred thirty-seven million, seven hundred eighty-one thousand, three hundred sixty-one".