137513032337 has 16 divisors (see below), whose sum is σ = 140484441600. Its totient is φ = 134574815232.

The previous prime is 137513032303. The next prime is 137513032379. The reversal of 137513032337 is 733230315731.

It is a cyclic number.

It is not a de Polignac number, because 137513032337 - 2³⁰ = 136439290513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137513032337.

It is not an unprimeable number, because it can be changed into a prime (137513032037) 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 15 ways as a sum of consecutive naturals, for example, 5318513 + ... + 5344305.

It is an arithmetic number, because the mean of its divisors is an integer number (8780277600).

Almost surely, 2^137513032337 is an apocalyptic number.

It is an amenable number.

137513032337 is a deficient number, since it is larger than the sum of its proper divisors (2971409263).

137513032337 is a wasteful number, since it uses less digits than its factorization.

137513032337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26432.

The product of its (nonzero) digits is 119070, while the sum is 38.

The spelling of 137513032337 in words is "one hundred thirty-seven billion, five hundred thirteen million, thirty-two thousand, three hundred thirty-seven".