138041844480 has 216 divisors, whose sum is σ = 483659292480. Its totient is φ = 36344954880.

The previous prime is 138041844397. The next prime is 138041844491. The reversal of 138041844480 is 84448140831.

138041844480 is a `hidden beast` number, since 13 + 80 + 4 + 1 + 84 + 4 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834240 + ... + 985920.

Almost surely, 2^138041844480 is an apocalyptic number.

138041844480 is a gapful number since it is divisible by the number (10) 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 138041844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241829646240).

138041844480 is an abundant number, since it is smaller than the sum of its proper divisors (345617448000).

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

138041844480 is a wasteful number, since it uses less digits than its factorization.

138041844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151787 (or 151770 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 138041844480 in words is "one hundred thirty-eight billion, forty-one million, eight hundred forty-four thousand, four hundred eighty".