137808116 has 12 divisors (see below), whose sum is σ = 249480420. Its totient is φ = 66528000.

The previous prime is 137808101. The next prime is 137808119. The reversal of 137808116 is 611808731.

137808116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34175716 + 103632400 = 5846^2 + 10180^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137808119) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 593885 + ... + 594116.

It is an arithmetic number, because the mean of its divisors is an integer number (20790035).

Almost surely, 2^137808116 is an apocalyptic number.

It is an amenable number.

137808116 is a deficient number, since it is larger than the sum of its proper divisors (111672304).

137808116 is a wasteful number, since it uses less digits than its factorization.

137808116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188034 (or 1188032 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 137808116 is about 11739.1701580648. The cubic root of 137808116 is about 516.5252998368.

The spelling of 137808116 in words is "one hundred thirty-seven million, eight hundred eight thousand, one hundred sixteen".