138319488 has 96 divisors (see below), whose sum is σ = 412863360. Its totient is φ = 46096128.

The previous prime is 138319483. The next prime is 138319501. The reversal of 138319488 is 884913831.

138319488 is a `hidden beast` number, since 1 + 383 + 194 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (138319483) 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 11 ways as a sum of consecutive naturals, for example, 28881 + ... + 33327.

It is an arithmetic number, because the mean of its divisors is an integer number (4300660).

Almost surely, 2^138319488 is an apocalyptic number.

138319488 is a gapful number since it is divisible by the number (18) 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 138319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206431680).

138319488 is an abundant number, since it is smaller than the sum of its proper divisors (274543872).

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

138319488 is an frugal number, since it uses more digits than its factorization.

138319488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476 (or 4452 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 138319488 is about 11760.9305754264. The cubic root of 138319488 is about 517.1634106145.

The spelling of 138319488 in words is "one hundred thirty-eight million, three hundred nineteen thousand, four hundred eighty-eight".