138802391285760 has 1296 divisors, whose sum is σ = 526268849652000. Its totient is φ = 35045228150784.

The previous prime is 138802391285693. The next prime is 138802391285771. The reversal of 138802391285760 is 67582193208831.

138802391285760 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 0 + 2 + 39 + 1 + 28 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×138802391285760² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81696521391 + ... + 81696523089.

It is an arithmetic number, because the mean of its divisors is an integer number (406071643250).

Almost surely, 2^{138802391285760} is an apocalyptic number.

138802391285760 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 138802391285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263134424826000).

138802391285760 is an abundant number, since it is smaller than the sum of its proper divisors (387466458366240).

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

138802391285760 is an frugal number, since it uses more digits than its factorization.

138802391285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 138802391285760 in words is "one hundred thirty-eight trillion, eight hundred two billion, three hundred ninety-one million, two hundred eighty-five thousand, seven hundred sixty".