137082305 has 8 divisors (see below), whose sum is σ = 174175272. Its totient is φ = 103214848.

The previous prime is 137082293. The next prime is 137082307. The reversal of 137082305 is 503280731.

It can be written as a sum of positive squares in 4 ways, for example, as 48553024 + 88529281 = 6968^2 + 9409^2 .

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 137082305 - 2⁴ = 137082289 is a prime.

It is a super-2 number, since 2×137082305² = 37583116688226050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137082307) 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 7 ways as a sum of consecutive naturals, for example, 806282 + ... + 806451.

It is an arithmetic number, because the mean of its divisors is an integer number (21771909).

Almost surely, 2^137082305 is an apocalyptic number.

It is an amenable number.

137082305 is a deficient number, since it is larger than the sum of its proper divisors (37092967).

137082305 is a wasteful number, since it uses less digits than its factorization.

137082305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612755.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 137082305 is about 11708.2152781711. The cubic root of 137082305 is about 515.6168873165.

The spelling of 137082305 in words is "one hundred thirty-seven million, eighty-two thousand, three hundred five".