138284460405 has 216 divisors, whose sum is σ = 317831735520. Its totient is φ = 55278961920.

The previous prime is 138284460403. The next prime is 138284460407. The reversal of 138284460405 is 504064482831.

138284460405 is a `hidden beast` number, since 1 + 38 + 2 + 8 + 4 + 4 + 604 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (138284460403) and next prime (138284460407).

It is not a de Polignac number, because 138284460405 - 2¹ = 138284460403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138284460403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7070490 + ... + 7090020.

It is an arithmetic number, because the mean of its divisors is an integer number (1471443220).

Almost surely, 2^138284460405 is an apocalyptic number.

138284460405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138284460405 is an abundant number, since it is smaller than the sum of its proper divisors (179547275115).

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

138284460405 is a wasteful number, since it uses less digits than its factorization.

138284460405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19601 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 138284460405 in words is "one hundred thirty-eight billion, two hundred eighty-four million, four hundred sixty thousand, four hundred five".