137147047103417 has 16 divisors (see below), whose sum is σ = 154175324720592. Its totient is φ = 121156452069120.

The previous prime is 137147047103393. The next prime is 137147047103453. The reversal of 137147047103417 is 714301740741731.

It can be written as a sum of positive squares in 8 ways, for example, as 33413209133056 + 103733837970361 = 5780416^2 + 10184981^2 .

It is not a de Polignac number, because 137147047103417 - 2¹⁴ = 137147047087033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137147047103617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337093578 + ... + 2337152259.

It is an arithmetic number, because the mean of its divisors is an integer number (9635957795037).

Almost surely, 2^{137147047103417} is an apocalyptic number.

It is an amenable number.

137147047103417 is a deficient number, since it is larger than the sum of its proper divisors (17028277617175).

137147047103417 is a wasteful number, since it uses less digits than its factorization.

137147047103417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674245948.

The product of its (nonzero) digits is 1382976, while the sum is 50.

The spelling of 137147047103417 in words is "one hundred thirty-seven trillion, one hundred forty-seven billion, forty-seven million, one hundred three thousand, four hundred seventeen".