138295584 has 144 divisors (see below), whose sum is σ = 453136320. Its totient is φ = 39191040.

The previous prime is 138295567. The next prime is 138295589. The reversal of 138295584 is 485592831.

138295584 is a `hidden beast` number, since 13 + 82 + 9 + 558 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (138295589) 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 23 ways as a sum of consecutive naturals, for example, 364707 + ... + 365085.

It is an arithmetic number, because the mean of its divisors is an integer number (3146780).

Almost surely, 2^138295584 is an apocalyptic number.

138295584 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 138295584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226568160).

138295584 is an abundant number, since it is smaller than the sum of its proper divisors (314840736).

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

138295584 is a wasteful number, since it uses less digits than its factorization.

138295584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 138295584 is about 11759.9142854019. The cubic root of 138295584 is about 517.1336173040.

The spelling of 138295584 in words is "one hundred thirty-eight million, two hundred ninety-five thousand, five hundred eighty-four".