137314333505 has 8 divisors (see below), whose sum is σ = 165022044072. Its totient is φ = 109688237568.

The previous prime is 137314333469. The next prime is 137314333531. The reversal of 137314333505 is 505333413731.

It can be written as a sum of positive squares in 4 ways, for example, as 3528835216 + 133785498289 = 59404^2 + 365767^2 .

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 137314333505 - 2⁶ = 137314333441 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20399954 + ... + 20406683.

It is an arithmetic number, because the mean of its divisors is an integer number (20627755509).

Almost surely, 2^137314333505 is an apocalyptic number.

It is an amenable number.

137314333505 is a deficient number, since it is larger than the sum of its proper divisors (27707710567).

137314333505 is an equidigital number, since it uses as much as digits as its factorization.

137314333505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40807315.

The product of its (nonzero) digits is 170100, while the sum is 38.

The spelling of 137314333505 in words is "one hundred thirty-seven billion, three hundred fourteen million, three hundred thirty-three thousand, five hundred five".