138960000 has 240 divisors, whose sum is σ = 502268910. Its totient is φ = 36864000.

The previous prime is 138959999. The next prime is 138960007. The reversal of 138960000 is 69831.

It can be written as a sum of positive squares in 5 ways, for example, as 97344 + 138862656 = 312^2 + 11784^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138960007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719904 + ... + 720096.

Almost surely, 2^138960000 is an apocalyptic number.

138960000 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 138960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251134455).

138960000 is an abundant number, since it is smaller than the sum of its proper divisors (363308910).

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

138960000 is an equidigital number, since it uses as much as digits as its factorization.

138960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 138960000 is about 11788.1296226331. The cubic root of 138960000 is about 517.9604527482.

The spelling of 138960000 in words is "one hundred thirty-eight million, nine hundred sixty thousand".