137109114 has 36 divisors (see below), whose sum is σ = 315584334. Its totient is φ = 43012992.

The previous prime is 137109107. The next prime is 137109121. The reversal of 137109114 is 411901731.

137109114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137109107) and next prime (137109121).

It can be written as a sum of positive squares in 3 ways, for example, as 133749225 + 3359889 = 11565^2 + 1833^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7977 + ... + 18380.

Almost surely, 2^137109114 is an apocalyptic number.

137109114 is an abundant number, since it is smaller than the sum of its proper divisors (178475220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137109114 is a wasteful number, since it uses less digits than its factorization.

137109114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26399 (or 26379 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 137109114 is about 11709.3601020722. The cubic root of 137109114 is about 515.6504979567.

The spelling of 137109114 in words is "one hundred thirty-seven million, one hundred nine thousand, one hundred fourteen".