137188144 has 20 divisors (see below), whose sum is σ = 274377280. Its totient is φ = 66381120.

The previous prime is 137188141. The next prime is 137188153. The reversal of 137188144 is 441881731.

137188144 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (137188141) 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 3 ways as a sum of consecutive naturals, for example, 137799 + ... + 138790.

It is an arithmetic number, because the mean of its divisors is an integer number (13718864).

Almost surely, 2^137188144 is an apocalyptic number.

It is an amenable number.

137188144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

137188144 is a wasteful number, since it uses less digits than its factorization.

137188144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276628 (or 276622 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 137188144 is about 11712.7342666006. The cubic root of 137188144 is about 515.7495529608.

The spelling of 137188144 in words is "one hundred thirty-seven million, one hundred eighty-eight thousand, one hundred forty-four".