137405285 has 8 divisors (see below), whose sum is σ = 164960376. Its totient is φ = 109874880.

The previous prime is 137405249. The next prime is 137405287. The reversal of 137405285 is 582504731.

It is a happy number.

It is a Cunningham number, because it is equal to 11722²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 44649124 + 92756161 = 6682^2 + 9631^2 .

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

It is not a de Polignac number, because 137405285 - 2⁶ = 137405221 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 (137405287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9875 + ... + 19295.

It is an arithmetic number, because the mean of its divisors is an integer number (20620047).

Almost surely, 2^137405285 is an apocalyptic number.

It is an amenable number.

137405285 is a deficient number, since it is larger than the sum of its proper divisors (27555091).

137405285 is an equidigital number, since it uses as much as digits as its factorization.

137405285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12343.

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 137405285 is about 11722.0000426548. Note that the first 4 decimals coincide. The cubic root of 137405285 is about 516.0215184925.

The spelling of 137405285 in words is "one hundred thirty-seven million, four hundred five thousand, two hundred eighty-five".