138720000 has 270 divisors, whose sum is σ = 490083748. Its totient is φ = 34816000.

The previous prime is 138719989. The next prime is 138720037. The reversal of 138720000 is 27831.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8159992 + ... + 8160008.

Almost surely, 2^138720000 is an apocalyptic number.

138720000 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 138720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245041874).

138720000 is an abundant number, since it is smaller than the sum of its proper divisors (351363748).

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

138720000 is an frugal number, since it uses more digits than its factorization.

138720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 138720000 is about 11777.9454914684. The cubic root of 138720000 is about 517.6620883661.

Adding to 138720000 its reverse (27831), we get a palindrome (138747831).

The spelling of 138720000 in words is "one hundred thirty-eight million, seven hundred twenty thousand".