138567084520 has 64 divisors (see below), whose sum is σ = 316314648720. Its totient is φ = 54621241344.

The previous prime is 138567084511. The next prime is 138567084521. The reversal of 138567084520 is 25480765831.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 37095530404 + 101471554116 = 192602^2 + 318546^2 .

It is not an unprimeable number, because it can be changed into a prime (138567084521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3534144 + ... + 3573136.

Almost surely, 2^138567084520 is an apocalyptic number.

138567084520 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 138567084520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158157324360).

138567084520 is an abundant number, since it is smaller than the sum of its proper divisors (177747564200).

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

138567084520 is a wasteful number, since it uses less digits than its factorization.

138567084520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40294 (or 40290 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 138567084520 in words is "one hundred thirty-eight billion, five hundred sixty-seven million, eighty-four thousand, five hundred twenty".