137596417001 has 2 divisors, whose sum is σ = 137596417002. Its totient is φ = 137596417000.

The previous prime is 137596416989. The next prime is 137596417003. The reversal of 137596417001 is 100714695731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94467096025 + 43129320976 = 307355^2 + 207676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137596417001 is a prime.

Together with 137596417003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137596417003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68798208500 + 68798208501.

It is an arithmetic number, because the mean of its divisors is an integer number (68798208501).

Almost surely, 2^137596417001 is an apocalyptic number.

It is an amenable number.

137596417001 is a deficient number, since it is larger than the sum of its proper divisors (1).

137596417001 is an equidigital number, since it uses as much as digits as its factorization.

137596417001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 158760, while the sum is 44.

The spelling of 137596417001 in words is "one hundred thirty-seven billion, five hundred ninety-six million, four hundred seventeen thousand, one".