138350940283584 has 672 divisors, whose sum is σ = 475512756465600. Its totient is φ = 39330200125440.

The previous prime is 138350940283561. The next prime is 138350940283597. The reversal of 138350940283584 is 485382049053831.

138350940283584 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 5 + 0 + 9 + 40 + 2 + 8 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19428579544 + ... + 19428586664.

It is an arithmetic number, because the mean of its divisors is an integer number (707608268550).

Almost surely, 2^{138350940283584} is an apocalyptic number.

138350940283584 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 138350940283584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237756378232800).

138350940283584 is an abundant number, since it is smaller than the sum of its proper divisors (337161816182016).

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

138350940283584 is a wasteful number, since it uses less digits than its factorization.

138350940283584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 138350940283584 in words is "one hundred thirty-eight trillion, three hundred fifty billion, nine hundred forty million, two hundred eighty-three thousand, five hundred eighty-four".