138141184 has 80 divisors (see below), whose sum is σ = 298306800. Its totient is φ = 63668224.

The previous prime is 138141137. The next prime is 138141187. The reversal of 138141184 is 481141831.

138141184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138141187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513402 + ... + 513670.

It is an arithmetic number, because the mean of its divisors is an integer number (3728835).

Almost surely, 2^138141184 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 138141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149153400).

138141184 is an abundant number, since it is smaller than the sum of its proper divisors (160165616).

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

138141184 is an equidigital number, since it uses as much as digits as its factorization.

138141184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its digits is 3072, while the sum is 31.

The square root of 138141184 is about 11753.3477783991. The cubic root of 138141184 is about 516.9410944938.

The spelling of 138141184 in words is "one hundred thirty-eight million, one hundred forty-one thousand, one hundred eighty-four".