137200017 has 16 divisors (see below), whose sum is σ = 190681088. Its totient is φ = 87650640.

The previous prime is 137200009. The next prime is 137200027. The reversal of 137200017 is 710002731.

It is not a de Polignac number, because 137200017 - 2³ = 137200009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137199966 and 137200002.

It is not an unprimeable number, because it can be changed into a prime (137200027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2418 + ... + 16740.

It is an arithmetic number, because the mean of its divisors is an integer number (11917568).

Almost surely, 2^137200017 is an apocalyptic number.

It is an amenable number.

137200017 is a deficient number, since it is larger than the sum of its proper divisors (53481071).

137200017 is a wasteful number, since it uses less digits than its factorization.

137200017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14460.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 137200017 is about 11713.2410971515. The cubic root of 137200017 is about 515.7644311119.

Adding to 137200017 its reverse (710002731), we get a palindrome (847202748).

The spelling of 137200017 in words is "one hundred thirty-seven million, two hundred thousand, seventeen".