137381888 has 108 divisors (see below), whose sum is σ = 328414905. Its totient is φ = 57286656.

The previous prime is 137381887. The next prime is 137381891. The reversal of 137381888 is 888183731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 110838784 + 26543104 = 10528^2 + 5152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8288.

It is not an unprimeable number, because it can be changed into a prime (137381887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3713006 + ... + 3713042.

Almost surely, 2^137381888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137381888

137381888 is an abundant number, since it is smaller than the sum of its proper divisors (191033017).

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

137381888 is an frugal number, since it uses more digits than its factorization.

137381888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its digits is 258048, while the sum is 47.

The square root of 137381888 is about 11721.0020049482. The cubic root of 137381888 is about 515.9922279141.

Subtracting from 137381888 its sum of digits (47), we obtain a square (137381841 = 11721²).

The spelling of 137381888 in words is "one hundred thirty-seven million, three hundred eighty-one thousand, eight hundred eighty-eight".