137829083650113 has 32 divisors (see below), whose sum is σ = 194723006196096. Its totient is φ = 86418434838528.

The previous prime is 137829083650091. The next prime is 137829083650187. The reversal of 137829083650113 is 311056380928731.

It is not a de Polignac number, because 137829083650113 - 2⁵ = 137829083650081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137829083650613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370082245 + ... + 2370140397.

It is an arithmetic number, because the mean of its divisors is an integer number (6085093943628).

Almost surely, 2^{137829083650113} is an apocalyptic number.

It is an amenable number.

137829083650113 is a deficient number, since it is larger than the sum of its proper divisors (56893922545983).

137829083650113 is a wasteful number, since it uses less digits than its factorization.

137829083650113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90993.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 137829083650113 in words is "one hundred thirty-seven trillion, eight hundred twenty-nine billion, eighty-three million, six hundred fifty thousand, one hundred thirteen".