137300107 has 12 divisors (see below), whose sum is σ = 161303616. Its totient is φ = 116516400.

The previous prime is 137300083. The next prime is 137300117. The reversal of 137300107 is 701003731.

It is not a de Polignac number, because 137300107 - 2⁷ = 137299979 is a prime.

It is a super-2 number, since 2×137300107² = 37702638764422898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137300117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8923 + ... + 18820.

It is an arithmetic number, because the mean of its divisors is an integer number (13441968).

Almost surely, 2^137300107 is an apocalyptic number.

137300107 is a deficient number, since it is larger than the sum of its proper divisors (24003509).

137300107 is a wasteful number, since it uses less digits than its factorization.

137300107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27858 (or 27851 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 22.

The square root of 137300107 is about 11717.5128333619. The cubic root of 137300107 is about 515.8898205854.

Adding to 137300107 its reverse (701003731), we get a palindrome (838303838).

The spelling of 137300107 in words is "one hundred thirty-seven million, three hundred thousand, one hundred seven".