138614784 has 192 divisors, whose sum is σ = 462309120. Its totient is φ = 35880960.

The previous prime is 138614779. The next prime is 138614789. The reversal of 138614784 is 487416831.

138614784 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138614779) and next prime (138614789).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

Its product of digits (129024) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138614789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472942 + ... + 473234.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^138614784 is an apocalyptic number.

138614784 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 138614784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

138614784 is an abundant number, since it is smaller than the sum of its proper divisors (323694336).

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

138614784 is a wasteful number, since it uses less digits than its factorization.

138614784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 138614784 is about 11773.4779908063. The cubic root of 138614784 is about 517.5311769123.

The spelling of 138614784 in words is "one hundred thirty-eight million, six hundred fourteen thousand, seven hundred eighty-four".