138018301200 has 720 divisors, whose sum is σ = 557917790976. Its totient is φ = 31286476800.

The previous prime is 138018301193. The next prime is 138018301313. The reversal of 138018301200 is 2103810831.

138018301200 is a `hidden beast` number, since 1 + 380 + 1 + 83 + 0 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×138018301200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37391355 + ... + 37395045.

Almost surely, 2^138018301200 is an apocalyptic number.

138018301200 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 138018301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278958895488).

138018301200 is an abundant number, since it is smaller than the sum of its proper divisors (419899489776).

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

138018301200 is a wasteful number, since it uses less digits than its factorization.

138018301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 138018301200 in words is "one hundred thirty-eight billion, eighteen million, three hundred one thousand, two hundred".