138127584 has 192 divisors, whose sum is σ = 446777856. Its totient is φ = 36470784.

The previous prime is 138127573. The next prime is 138127597. The reversal of 138127584 is 485721831.

It is a congruent number.

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, 1222312 + ... + 1222424.

It is an arithmetic number, because the mean of its divisors is an integer number (2326968).

Almost surely, 2^138127584 is an apocalyptic number.

138127584 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 138127584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223388928).

138127584 is an abundant number, since it is smaller than the sum of its proper divisors (308650272).

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

138127584 is a wasteful number, since it uses less digits than its factorization.

138127584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 138127584 is about 11752.7692055958. The cubic root of 138127584 is about 516.9241296529.

The spelling of 138127584 in words is "one hundred thirty-eight million, one hundred twenty-seven thousand, five hundred eighty-four".