138214784 has 32 divisors (see below), whose sum is σ = 277236000. Its totient is φ = 68634112.

The previous prime is 138214781. The next prime is 138214799. The reversal of 138214784 is 487412831.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138214781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15449 + ... + 22695.

It is an arithmetic number, because the mean of its divisors is an integer number (8663625).

Almost surely, 2^138214784 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 138214784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138618000).

138214784 is an abundant number, since it is smaller than the sum of its proper divisors (139021216).

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

138214784 is an equidigital number, since it uses as much as digits as its factorization.

138214784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7398 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 138214784 is about 11756.4783842782. The cubic root of 138214784 is about 517.0328849082.

The spelling of 138214784 in words is "one hundred thirty-eight million, two hundred fourteen thousand, seven hundred eighty-four".