138308000 has 96 divisors (see below), whose sum is σ = 345316608. Its totient is φ = 54432000.

The previous prime is 138307999. The next prime is 138308003. The reversal of 138308000 is 803831.

It is not an unprimeable number, because it can be changed into a prime (138308003) 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, 283757 + ... + 284243.

It is an arithmetic number, because the mean of its divisors is an integer number (3597048).

Almost surely, 2^138308000 is an apocalyptic number.

138308000 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 138308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

138308000 is an abundant number, since it is smaller than the sum of its proper divisors (207008608).

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

138308000 is an equidigital number, since it uses as much as digits as its factorization.

138308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 138308000 is about 11760.4421685581. The cubic root of 138308000 is about 517.1490927050.

The spelling of 138308000 in words is "one hundred thirty-eight million, three hundred eight thousand".