137200417 has 2 divisors, whose sum is σ = 137200418. Its totient is φ = 137200416.

The previous prime is 137200373. The next prime is 137200519. The reversal of 137200417 is 714002731.

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., 129140496 + 8059921 = 11364^2 + 2839^2 .

It is a cyclic number.

It is not a de Polignac number, because 137200417 - 2⁷ = 137200289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137200391 and 137200400.

It is not a weakly prime, because it can be changed into another prime (137206417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68600208 + 68600209.

It is an arithmetic number, because the mean of its divisors is an integer number (68600209).

Almost surely, 2^137200417 is an apocalyptic number.

It is an amenable number.

137200417 is a deficient number, since it is larger than the sum of its proper divisors (1).

137200417 is an equidigital number, since it uses as much as digits as its factorization.

137200417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 137200417 is about 11713.2581718325. The cubic root of 137200417 is about 515.7649323401.

The spelling of 137200417 in words is "one hundred thirty-seven million, two hundred thousand, four hundred seventeen".