138847378997600 has 1152 divisors, whose sum is σ = 445795979231232. Its totient is φ = 41047127654400.

The previous prime is 138847378997567. The next prime is 138847378997611. The reversal of 138847378997600 is 6799873748831.

It is a Harshad number since it is a multiple of its sum of digits (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10604696654 + ... + 10604709746.

It is an arithmetic number, because the mean of its divisors is an integer number (386975676416).

Almost surely, 2^{138847378997600} is an apocalyptic number.

138847378997600 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 138847378997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222897989615616).

138847378997600 is an abundant number, since it is smaller than the sum of its proper divisors (306948600233632).

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

138847378997600 is a wasteful number, since it uses less digits than its factorization.

138847378997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13328 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 80.

The spelling of 138847378997600 in words is "one hundred thirty-eight trillion, eight hundred forty-seven billion, three hundred seventy-eight million, nine hundred ninety-seven thousand, six hundred".