138082474656 has 384 divisors, whose sum is σ = 478250680320. Its totient is φ = 37928217600.

The previous prime is 138082474633. The next prime is 138082474657. The reversal of 138082474656 is 656474280831.

It is a happy number.

138082474656 is a `hidden beast` number, since 1 + 38 + 0 + 82 + 474 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (138082474657) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29433271 + ... + 29437961.

It is an arithmetic number, because the mean of its divisors is an integer number (1245444480).

Almost surely, 2^138082474656 is an apocalyptic number.

138082474656 is a gapful number since it is divisible by the number (16) 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 138082474656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239125340160).

138082474656 is an abundant number, since it is smaller than the sum of its proper divisors (340168205664).

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

138082474656 is a wasteful number, since it uses less digits than its factorization.

138082474656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 138082474656 in words is "one hundred thirty-eight billion, eighty-two million, four hundred seventy-four thousand, six hundred fifty-six".