138861184 has 128 divisors (see below), whose sum is σ = 351434880. Its totient is φ = 53084160.

The previous prime is 138861181. The next prime is 138861199. The reversal of 138861184 is 481168831.

138861184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (138861181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719392 + ... + 719584.

It is an arithmetic number, because the mean of its divisors is an integer number (2745585).

Almost surely, 2^138861184 is an apocalyptic number.

138861184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138861184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175717440).

138861184 is an abundant number, since it is smaller than the sum of its proper divisors (212573696).

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

138861184 is a wasteful number, since it uses less digits than its factorization.

138861184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 138861184 is about 11783.9375422649. The cubic root of 138861184 is about 517.8376478233.

The spelling of 138861184 in words is "one hundred thirty-eight million, eight hundred sixty-one thousand, one hundred eighty-four".