138022580000 has 270 divisors, whose sum is σ = 353965939173. Its totient is φ = 52960320000.

The previous prime is 138022579991. The next prime is 138022580027. The reversal of 138022580000 is 85220831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 4010942224 + 134011637776 = 63332^2 + 366076^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=262700.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1943979965 + ... + 1943980035.

Almost surely, 2^138022580000 is an apocalyptic number.

138022580000 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 138022580000

138022580000 is an abundant number, since it is smaller than the sum of its proper divisors (215943359173).

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

138022580000 is an frugal number, since it uses more digits than its factorization.

138022580000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 138022580000 in words is "one hundred thirty-eight billion, twenty-two million, five hundred eighty thousand".