138605985000 has 960 divisors, whose sum is σ = 570387417600. Its totient is φ = 30862944000.

The previous prime is 138605984989. The next prime is 138605985019. The reversal of 138605985000 is 589506831.

138605985000 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 0 + 598 + 50 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 365714811 + ... + 365715189.

It is an arithmetic number, because the mean of its divisors is an integer number (594153560).

Almost surely, 2^138605985000 is an apocalyptic number.

138605985000 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 138605985000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285193708800).

138605985000 is an abundant number, since it is smaller than the sum of its proper divisors (431781432600).

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

138605985000 is an equidigital number, since it uses as much as digits as its factorization.

138605985000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 138605985000 in words is "one hundred thirty-eight billion, six hundred five million, nine hundred eighty-five thousand".