138179328000 has 384 divisors, whose sum is σ = 525447336960. Its totient is φ = 31582617600.

The previous prime is 138179327969. The next prime is 138179328037. The reversal of 138179328000 is 823971831.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5363149 + ... + 5388851.

It is an arithmetic number, because the mean of its divisors is an integer number (1368352440).

Almost surely, 2^138179328000 is an apocalyptic number.

138179328000 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 138179328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262723668480).

138179328000 is an abundant number, since it is smaller than the sum of its proper divisors (387268008960).

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

138179328000 is an equidigital number, since it uses as much as digits as its factorization.

138179328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25750 (or 25720 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 138179328000 in words is "one hundred thirty-eight billion, one hundred seventy-nine million, three hundred twenty-eight thousand".