138558420000 has 1440 divisors, whose sum is σ = 661949608320. Its totient is φ = 26542080000.

The previous prime is 138558419969. The next prime is 138558420041. The reversal of 138558420000 is 24855831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 180179616 + ... + 180180384.

It is an arithmetic number, because the mean of its divisors is an integer number (459687228).

Almost surely, 2^138558420000 is an apocalyptic number.

138558420000 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 138558420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330974804160).

138558420000 is an abundant number, since it is smaller than the sum of its proper divisors (523391188320).

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

138558420000 is a wasteful number, since it uses less digits than its factorization.

138558420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 138558420000 in words is "one hundred thirty-eight billion, five hundred fifty-eight million, four hundred twenty thousand".