138143249760000 has 720 divisors, whose sum is σ = 469587864582144. Its totient is φ = 36025092096000.

The previous prime is 138143249759993. The next prime is 138143249760017. The reversal of 138143249760000 is 67942341831.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49925278617 + ... + 49925281383.

Almost surely, 2^{138143249760000} is an apocalyptic number.

138143249760000 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 138143249760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234793932291072).

138143249760000 is an abundant number, since it is smaller than the sum of its proper divisors (331444614822144).

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

138143249760000 is an equidigital number, since it uses as much as digits as its factorization.

138143249760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 138143249760000 in words is "one hundred thirty-eight trillion, one hundred forty-three billion, two hundred forty-nine million, seven hundred sixty thousand".