138037016000 has 448 divisors, whose sum is σ = 381037063680. Its totient is φ = 49217126400.

The previous prime is 138037015981. The next prime is 138037016003. The reversal of 138037016000 is 610730831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138037016003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435447842 + ... + 435448158.

It is an arithmetic number, because the mean of its divisors is an integer number (850529160).

Almost surely, 2^138037016000 is an apocalyptic number.

138037016000 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 138037016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190518531840).

138037016000 is an abundant number, since it is smaller than the sum of its proper divisors (243000047680).

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

138037016000 is a wasteful number, since it uses less digits than its factorization.

138037016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 138037016000 its reverse (610730831), we get a palindrome (138647746831).

The spelling of 138037016000 in words is "one hundred thirty-eight billion, thirty-seven million, sixteen thousand".