138466944000 has 1584 divisors, whose sum is σ = 636048032256. Its totient is φ = 28643328000.

The previous prime is 138466943963. The next prime is 138466944013. The reversal of 138466944000 is 449664831.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 620927889 + ... + 620928111.

Almost surely, 2^138466944000 is an apocalyptic number.

138466944000 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 138466944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318024016128).

138466944000 is an abundant number, since it is smaller than the sum of its proper divisors (497581088256).

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

138466944000 is a wasteful number, since it uses less digits than its factorization.

138466944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 138466944000 in words is "one hundred thirty-eight billion, four hundred sixty-six million, nine hundred forty-four thousand".