138605289799680 has 840 divisors, whose sum is σ = 542118700880064. Its totient is φ = 33600149913600.

The previous prime is 138605289799679. The next prime is 138605289799733. The reversal of 138605289799680 is 86997982506831.

138605289799680 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 0 + 528 + 9 + 7 + 9 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×138605289799680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 138605289799680.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4671391245 + ... + 4671420915.

Almost surely, 2^{138605289799680} is an apocalyptic number.

138605289799680 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 138605289799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271059350440032).

138605289799680 is an abundant number, since it is smaller than the sum of its proper divisors (403513411080384).

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

138605289799680 is an frugal number, since it uses more digits than its factorization.

138605289799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29739 (or 29692 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 138605289799680 in words is "one hundred thirty-eight trillion, six hundred five billion, two hundred eighty-nine million, seven hundred ninety-nine thousand, six hundred eighty".