137188116 has 54 divisors (see below), whose sum is σ = 375525150. Its totient is φ = 42209856.

The previous prime is 137188111. The next prime is 137188133. The reversal of 137188116 is 611881731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15968016 + 121220100 = 3996^2 + 11010^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137188111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5191 + ... + 17358.

Almost surely, 2^137188116 is an apocalyptic number.

It is an amenable number.

137188116 is an abundant number, since it is smaller than the sum of its proper divisors (238337034).

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

137188116 is a wasteful number, since it uses less digits than its factorization.

137188116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22567 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 137188116 is about 11712.7330713203. The cubic root of 137188116 is about 515.7495178728.

The spelling of 137188116 in words is "one hundred thirty-seven million, one hundred eighty-eight thousand, one hundred sixteen".