137355706247117 has 32 divisors (see below), whose sum is σ = 148038696345600. Its totient is φ = 126968388019200.

The previous prime is 137355706247107. The next prime is 137355706247171. The reversal of 137355706247117 is 711742607553731.

It is a cyclic number.

It is not a de Polignac number, because 137355706247117 - 2²⁰ = 137355705198541 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 (137355706247107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935069767 + ... + 1935140747.

It is an arithmetic number, because the mean of its divisors is an integer number (4626209260800).

Almost surely, 2^{137355706247117} is an apocalyptic number.

137355706247117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137355706247117 is a deficient number, since it is larger than the sum of its proper divisors (10682990098483).

137355706247117 is a wasteful number, since it uses less digits than its factorization.

137355706247117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73797.

The product of its (nonzero) digits is 25930800, while the sum is 59.

The spelling of 137355706247117 in words is "one hundred thirty-seven trillion, three hundred fifty-five billion, seven hundred six million, two hundred forty-seven thousand, one hundred seventeen".