138312389600 has 864 divisors, whose sum is σ = 447649348608. Its totient is φ = 40803840000.

The previous prime is 138312389599. The next prime is 138312389609. The reversal of 138312389600 is 6983213831.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138312389609) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1369429550 + ... + 1369429650.

It is an arithmetic number, because the mean of its divisors is an integer number (518112672).

Almost surely, 2^138312389600 is an apocalyptic number.

138312389600 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 138312389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223824674304).

138312389600 is an abundant number, since it is smaller than the sum of its proper divisors (309336959008).

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

138312389600 is a wasteful number, since it uses less digits than its factorization.

138312389600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 138312389600 in words is "one hundred thirty-eight billion, three hundred twelve million, three hundred eighty-nine thousand, six hundred".