137283705 has 24 divisors (see below), whose sum is σ = 256264008. Its totient is φ = 67585536.

The previous prime is 137283691. The next prime is 137283719. The reversal of 137283705 is 507382731.

It is an interprime number because it is at equal distance from previous prime (137283691) and next prime (137283719).

It can be written as a sum of positive squares in 4 ways, for example, as 8415801 + 128867904 = 2901^2 + 11352^2 .

It is not a de Polignac number, because 137283705 - 2⁵ = 137283673 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137283705.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 116752 + ... + 117921.

It is an arithmetic number, because the mean of its divisors is an integer number (10677667).

Almost surely, 2^137283705 is an apocalyptic number.

137283705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137283705 is a deficient number, since it is larger than the sum of its proper divisors (118980303).

137283705 is a wasteful number, since it uses less digits than its factorization.

137283705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234697 (or 234694 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 137283705 is about 11716.8129199027. The cubic root of 137283705 is about 515.8692768729.

The spelling of 137283705 in words is "one hundred thirty-seven million, two hundred eighty-three thousand, seven hundred five".