138014784 has 84 divisors (see below), whose sum is σ = 416448240. Its totient is φ = 43580160.

The previous prime is 138014777. The next prime is 138014791. The reversal of 138014784 is 487410831.

It is an interprime number because it is at equal distance from previous prime (138014777) and next prime (138014791).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4639 + ... + 17249.

Almost surely, 2^138014784 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 138014784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208224120).

138014784 is an abundant number, since it is smaller than the sum of its proper divisors (278433456).

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

138014784 is a wasteful number, since it uses less digits than its factorization.

138014784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12648 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 138014784 is about 11747.9693564462. The cubic root of 138014784 is about 516.7833783278.

The spelling of 138014784 in words is "one hundred thirty-eight million, fourteen thousand, seven hundred eighty-four".