138003051384 has 384 divisors, whose sum is σ = 443675232000. Its totient is φ = 38277550080.

The previous prime is 138003051377. The next prime is 138003051397. The reversal of 138003051384 is 483150300831.

138003051384 is a `hidden beast` number, since 1 + 38 + 0 + 0 + 30 + 513 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202053907 + ... + 202054589.

It is an arithmetic number, because the mean of its divisors is an integer number (1155404250).

Almost surely, 2^138003051384 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 138003051384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221837616000).

138003051384 is an abundant number, since it is smaller than the sum of its proper divisors (305672180616).

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

138003051384 is a wasteful number, since it uses less digits than its factorization.

138003051384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 138003051384 in words is "one hundred thirty-eight billion, three million, fifty-one thousand, three hundred eighty-four".