138307085280 has 1728 divisors, whose sum is σ = 631699181568. Its totient is φ = 27948810240.

The previous prime is 138307085269. The next prime is 138307085327. The reversal of 138307085280 is 82580703831.

138307085280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1425846192 + ... + 1425846288.

It is an arithmetic number, because the mean of its divisors is an integer number (365566656).

Almost surely, 2^138307085280 is an apocalyptic number.

138307085280 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 138307085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315849590784).

138307085280 is an abundant number, since it is smaller than the sum of its proper divisors (493392096288).

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

138307085280 is a wasteful number, since it uses less digits than its factorization.

138307085280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 138307085280 in words is "one hundred thirty-eight billion, three hundred seven million, eighty-five thousand, two hundred eighty".