138858384000 has 512 divisors, whose sum is σ = 553788518400. Its totient is φ = 30067200000.

The previous prime is 138858383959. The next prime is 138858384001. The reversal of 138858384000 is 483858831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (138858384001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6373125 + ... + 6394875.

It is an arithmetic number, because the mean of its divisors is an integer number (1081618200).

Almost surely, 2^138858384000 is an apocalyptic number.

138858384000 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 138858384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276894259200).

138858384000 is an abundant number, since it is smaller than the sum of its proper divisors (414930134400).

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

138858384000 is a wasteful number, since it uses less digits than its factorization.

138858384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21809 (or 21787 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 138858384000 in words is "one hundred thirty-eight billion, eight hundred fifty-eight million, three hundred eighty-four thousand".