137830113 has 16 divisors (see below), whose sum is σ = 206301760. Its totient is φ = 90937728.

The previous prime is 137830109. The next prime is 137830129. The reversal of 137830113 is 311038731.

137830113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137830113 - 2² = 137830109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137830103) 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, 23695 + ... + 28932.

It is an arithmetic number, because the mean of its divisors is an integer number (12893860).

Almost surely, 2^137830113 is an apocalyptic number.

It is an amenable number.

137830113 is a deficient number, since it is larger than the sum of its proper divisors (68471647).

137830113 is an equidigital number, since it uses as much as digits as its factorization.

137830113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52733 (or 52727 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 137830113 is about 11740.1070267694. The cubic root of 137830113 is about 516.5527810497.

Adding to 137830113 its reverse (311038731), we get a palindrome (448868844).

The spelling of 137830113 in words is "one hundred thirty-seven million, eight hundred thirty thousand, one hundred thirteen".