138413184 has 256 divisors, whose sum is σ = 481178880. Its totient is φ = 34209792.

The previous prime is 138413179. The next prime is 138413221. The reversal of 138413184 is 481314831.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593932 + ... + 594164.

It is an arithmetic number, because the mean of its divisors is an integer number (1879605).

Almost surely, 2^138413184 is an apocalyptic number.

138413184 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 138413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

138413184 is an abundant number, since it is smaller than the sum of its proper divisors (342765696).

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

138413184 is a wasteful number, since it uses less digits than its factorization.

138413184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 138413184 is about 11764.9132593487. The cubic root of 138413184 is about 517.2801577351.

The spelling of 138413184 in words is "one hundred thirty-eight million, four hundred thirteen thousand, one hundred eighty-four".