137685900817 has 2 divisors, whose sum is σ = 137685900818. Its totient is φ = 137685900816.

The previous prime is 137685900809. The next prime is 137685900827. The reversal of 137685900817 is 718009586731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133207480576 + 4478420241 = 364976^2 + 66921^2 .

It is a cyclic number.

It is not a de Polignac number, because 137685900817 - 2³ = 137685900809 is a prime.

It is a super-2 number, since 2×137685900817² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137685900827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68842950408 + 68842950409.

It is an arithmetic number, because the mean of its divisors is an integer number (68842950409).

Almost surely, 2^137685900817 is an apocalyptic number.

It is an amenable number.

137685900817 is a deficient number, since it is larger than the sum of its proper divisors (1).

137685900817 is an equidigital number, since it uses as much as digits as its factorization.

137685900817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 137685900817 in words is "one hundred thirty-seven billion, six hundred eighty-five million, nine hundred thousand, eight hundred seventeen".