138331540480 has 352 divisors, whose sum is σ = 415446019200. Its totient is φ = 43093327872.

The previous prime is 138331540453. The next prime is 138331540483. The reversal of 138331540480 is 84045133831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (138331540483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17665206 + ... + 17673034.

Almost surely, 2^138331540480 is an apocalyptic number.

138331540480 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 138331540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207723009600).

138331540480 is an abundant number, since it is smaller than the sum of its proper divisors (277114478720).

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

138331540480 is a wasteful number, since it uses less digits than its factorization.

138331540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7907 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 138331540480 in words is "one hundred thirty-eight billion, three hundred thirty-one million, five hundred forty thousand, four hundred eighty".