137306005 has 8 divisors (see below), whose sum is σ = 164923992. Its totient is φ = 109740288.

The previous prime is 137306003. The next prime is 137306041. The reversal of 137306005 is 500603731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88209 + 137217796 = 297^2 + 11714^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137306005 - 2¹ = 137306003 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137306003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7032 + ... + 18001.

It is an arithmetic number, because the mean of its divisors is an integer number (20615499).

Almost surely, 2^137306005 is an apocalyptic number.

It is an amenable number.

137306005 is a deficient number, since it is larger than the sum of its proper divisors (27617987).

137306005 is a wasteful number, since it uses less digits than its factorization.

137306005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26135.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 137306005 is about 11717.7645052288. The cubic root of 137306005 is about 515.8972075051.

Adding to 137306005 its reverse (500603731), we get a palindrome (637909736).

The spelling of 137306005 in words is "one hundred thirty-seven million, three hundred six thousand, five".