137363731 has 2 divisors, whose sum is σ = 137363732. Its totient is φ = 137363730.

The previous prime is 137363729. The next prime is 137363761.

137363731 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 137363731 - 2¹ = 137363729 is a prime.

It is a super-2 number, since 2×137363731² = 37737589188480722, which contains 22 as substring.

Together with 137363729, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (137363761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68681865 + 68681866.

It is an arithmetic number, because the mean of its divisors is an integer number (68681866).

Almost surely, 2^137363731 is an apocalyptic number.

137363731 is a deficient number, since it is larger than the sum of its proper divisors (1).

137363731 is an equidigital number, since it uses as much as digits as its factorization.

137363731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23814, while the sum is 34.

The square root of 137363731 is about 11720.2274295340. The cubic root of 137363731 is about 515.9694949717.

The spelling of 137363731 in words is "one hundred thirty-seven million, three hundred sixty-three thousand, seven hundred thirty-one".