138863683745280 has 960 divisors, whose sum is σ = 525771628462080. Its totient is φ = 33667423469568.

The previous prime is 138863683745273. The next prime is 138863683745287. The reversal of 138863683745280 is 82547386368831.

138863683745280 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 6 + 3 + 68 + 37 + 4 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138863683745273) and next prime (138863683745287).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 138863683745199 and 138863683745208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138863683745287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5287413429 + ... + 5287439691.

It is an arithmetic number, because the mean of its divisors is an integer number (547678779648).

Almost surely, 2^{138863683745280} is an apocalyptic number.

138863683745280 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 138863683745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262885814231040).

138863683745280 is an abundant number, since it is smaller than the sum of its proper divisors (386907944716800).

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

138863683745280 is a wasteful number, since it uses less digits than its factorization.

138863683745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26571 (or 26552 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 138863683745280 in words is "one hundred thirty-eight trillion, eight hundred sixty-three billion, six hundred eighty-three million, seven hundred forty-five thousand, two hundred eighty".