138211360 has 216 divisors, whose sum is σ = 410106564. Its totient is φ = 43868160.

The previous prime is 138211327. The next prime is 138211379. The reversal of 138211360 is 63112831.

It can be written as a sum of positive squares in 6 ways, for example, as 58430736 + 79780624 = 7644^2 + 8932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2265730 + ... + 2265790.

Almost surely, 2^138211360 is an apocalyptic number.

138211360 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 138211360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205053282).

138211360 is an abundant number, since it is smaller than the sum of its proper divisors (271895204).

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

138211360 is a wasteful number, since it uses less digits than its factorization.

138211360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 138211360 is about 11756.3327615375. The cubic root of 138211360 is about 517.0286153813.

The spelling of 138211360 in words is "one hundred thirty-eight million, two hundred eleven thousand, three hundred sixty".