138947584 has 44 divisors (see below), whose sum is σ = 287398800. Its totient is φ = 67063808.

The previous prime is 138947573. The next prime is 138947587. The reversal of 138947584 is 485749831.

It is not an unprimeable number, because it can be changed into a prime (138947587) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27357 + ... + 32035.

Almost surely, 2^138947584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143699400).

138947584 is an abundant number, since it is smaller than the sum of its proper divisors (148451216).

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

138947584 is an equidigital number, since it uses as much as digits as its factorization.

138947584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4710 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 138947584 is about 11787.6029794017. The cubic root of 138947584 is about 517.9450257943.

The spelling of 138947584 in words is "one hundred thirty-eight million, nine hundred forty-seven thousand, five hundred eighty-four".