137316963 has 16 divisors (see below), whose sum is σ = 213516800. Its totient is φ = 78466248.

The previous prime is 137316947. The next prime is 137316979. The reversal of 137316963 is 369613731.

It is an interprime number because it is at equal distance from previous prime (137316947) and next prime (137316979).

It is not a de Polignac number, because 137316963 - 2⁴ = 137316947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137316863) 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 15 ways as a sum of consecutive naturals, for example, 65695 + ... + 67752.

It is an arithmetic number, because the mean of its divisors is an integer number (13344800).

Almost surely, 2^137316963 is an apocalyptic number.

137316963 is a deficient number, since it is larger than the sum of its proper divisors (76199837).

137316963 is an equidigital number, since it uses as much as digits as its factorization.

137316963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133471 (or 133457 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 137316963 is about 11718.2320765549. The cubic root of 137316963 is about 515.9109312342.

It can be divided in two parts, 1373 and 16963, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 137316963 in words is "one hundred thirty-seven million, three hundred sixteen thousand, nine hundred sixty-three".