138247048704000 has 624 divisors, whose sum is σ = 480903768674784. Its totient is φ = 35262808064000.

The previous prime is 138247048703969. The next prime is 138247048704013. The reversal of 138247048704000 is 407840742831.

It is a super-2 number, since 2×138247048704000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812458930 + ... + 812629070.

It is an arithmetic number, because the mean of its divisors is an integer number (770679116466).

Almost surely, 2^{138247048704000} is an apocalyptic number.

138247048704000 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 138247048704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240451884337392).

138247048704000 is an abundant number, since it is smaller than the sum of its proper divisors (342656719970784).

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

138247048704000 is an equidigital number, since it uses as much as digits as its factorization.

138247048704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170229 (or 170174 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 138247048704000 in words is "one hundred thirty-eight trillion, two hundred forty-seven billion, forty-eight million, seven hundred four thousand".