138401267200 has 480 divisors, whose sum is σ = 412096481280. Its totient is φ = 45037977600.

The previous prime is 138401267171. The next prime is 138401267231. The reversal of 138401267200 is 2762104831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492531060 + ... + 492531340.

It is an arithmetic number, because the mean of its divisors is an integer number (858534336).

Almost surely, 2^138401267200 is an apocalyptic number.

138401267200 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 138401267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206048240640).

138401267200 is an abundant number, since it is smaller than the sum of its proper divisors (273695214080).

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

138401267200 is a wasteful number, since it uses less digits than its factorization.

138401267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 138401267200 in words is "one hundred thirty-eight billion, four hundred one million, two hundred sixty-seven thousand, two hundred".