137822305 has 12 divisors (see below), whose sum is σ = 166796820. Its totient is φ = 109325664.

The previous prime is 137822291. The next prime is 137822309. The reversal of 137822305 is 503228731.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 100661089 = 6096^2 + 10033^2 .

It is not a de Polignac number, because 137822305 - 2⁷ = 137822177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137822309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79791 + ... + 81499.

It is an arithmetic number, because the mean of its divisors is an integer number (13899735).

Almost surely, 2^137822305 is an apocalyptic number.

It is an amenable number.

137822305 is a deficient number, since it is larger than the sum of its proper divisors (28974515).

137822305 is an equidigital number, since it uses as much as digits as its factorization.

137822305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 137822305 is about 11739.7744867608. The cubic root of 137822305 is about 516.5430267220.

The spelling of 137822305 in words is "one hundred thirty-seven million, eight hundred twenty-two thousand, three hundred five".