137776993 has 6 divisors (see below), whose sum is σ = 146358566. Its totient is φ = 129672192.

The previous prime is 137776963. The next prime is 137777009. The reversal of 137776993 is 399677731.

It can be written as a sum of positive squares in 3 ways, for example, as 58798224 + 78978769 = 7668^2 + 8887^2 .

It is a de Polignac number, because none of the positive numbers 2^k-137776993 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 137776993.

It is not an unprimeable number, because it can be changed into a prime (137776913) 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 5 ways as a sum of consecutive naturals, for example, 238080 + ... + 238657.

Almost surely, 2^137776993 is an apocalyptic number.

It is an amenable number.

137776993 is a deficient number, since it is larger than the sum of its proper divisors (8581573).

137776993 is an equidigital number, since it uses as much as digits as its factorization.

137776993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476771 (or 476754 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 52.

The square root of 137776993 is about 11737.8444784381. The cubic root of 137776993 is about 516.4864123660.

The spelling of 137776993 in words is "one hundred thirty-seven million, seven hundred seventy-six thousand, nine hundred ninety-three".