138216000 has 224 divisors, whose sum is σ = 492605568. Its totient is φ = 33945600.

The previous prime is 138215981. The next prime is 138216017. The reversal of 138216000 is 612831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311779 + ... + 312221.

It is an arithmetic number, because the mean of its divisors is an integer number (2199132).

Almost surely, 2^138216000 is an apocalyptic number.

138216000 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 138216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246302784).

138216000 is an abundant number, since it is smaller than the sum of its proper divisors (354389568).

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

138216000 is a wasteful number, since it uses less digits than its factorization.

138216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 138216000 is about 11756.5301003315. The cubic root of 138216000 is about 517.0344011718.

Adding to 138216000 its reverse (612831), we get a palindrome (138828831).

The spelling of 138216000 in words is "one hundred thirty-eight million, two hundred sixteen thousand".