137805107 has 16 divisors (see below), whose sum is σ = 154047744. Its totient is φ = 122220000.

The previous prime is 137805091. The next prime is 137805113. The reversal of 137805107 is 701508731.

It is a cyclic number.

It is not a de Polignac number, because 137805107 - 2⁴ = 137805091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137805127) 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, 78008 + ... + 79754.

It is an arithmetic number, because the mean of its divisors is an integer number (9627984).

Almost surely, 2^137805107 is an apocalyptic number.

137805107 is a deficient number, since it is larger than the sum of its proper divisors (16242637).

137805107 is a wasteful number, since it uses less digits than its factorization.

137805107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 137805107 is about 11739.0419966878. The cubic root of 137805107 is about 516.5215404164.

The spelling of 137805107 in words is "one hundred thirty-seven million, eight hundred five thousand, one hundred seven".