137763037 has 4 divisors (see below), whose sum is σ = 137792380. Its totient is φ = 137733696.

The previous prime is 137763001. The next prime is 137763049. The reversal of 137763037 is 730367731.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 83283876 + 54479161 = 9126^2 + 7381^2 .

It is a 3-Lehmer number, since φ(137763037) divides (137763037-1)³.

It is a cyclic number.

It is not a de Polignac number, because 137763037 - 2⁷ = 137762909 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137762987 and 137763005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137763097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5868 + ... + 17605.

It is an arithmetic number, because the mean of its divisors is an integer number (34448095).

It is a Poulet number, since it divides 2^137763036-1.

Almost surely, 2^137763037 is an apocalyptic number.

137763037 is the 5869-th decagonal number.

It is an amenable number.

137763037 is a deficient number, since it is larger than the sum of its proper divisors (29343).

137763037 is an equidigital number, since it uses as much as digits as its factorization.

137763037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29342.

The product of its (nonzero) digits is 55566, while the sum is 37.

The square root of 137763037 is about 11737.2499760378. The cubic root of 137763037 is about 516.4689727640.

The spelling of 137763037 in words is "one hundred thirty-seven million, seven hundred sixty-three thousand, thirty-seven".