138097684480 has 416 divisors, whose sum is σ = 399144153600. Its totient is φ = 44860440576.

The previous prime is 138097684471. The next prime is 138097684547. The reversal of 138097684480 is 84486790831.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245288679 + ... + 245289241.

Almost surely, 2^138097684480 is an apocalyptic number.

138097684480 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 138097684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199572076800).

138097684480 is an abundant number, since it is smaller than the sum of its proper divisors (261046469120).

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

138097684480 is an equidigital number, since it uses as much as digits as its factorization.

138097684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 138097684480 in words is "one hundred thirty-eight billion, ninety-seven million, six hundred eighty-four thousand, four hundred eighty".