138234635890080 has 192 divisors, whose sum is σ = 437242071772800. Its totient is φ = 36710206009344.

The previous prime is 138234635890061. The next prime is 138234635890103. The reversal of 138234635890080 is 80098536432831.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 138234635889996 and 138234635890023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131313982 + ... + 132362498.

It is an arithmetic number, because the mean of its divisors is an integer number (2277302457150).

Almost surely, 2^{138234635890080} is an apocalyptic number.

138234635890080 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 138234635890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218621035886400).

138234635890080 is an abundant number, since it is smaller than the sum of its proper divisors (299007435882720).

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

138234635890080 is a wasteful number, since it uses less digits than its factorization.

138234635890080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049671 (or 1049663 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 138234635890080 in words is "one hundred thirty-eight trillion, two hundred thirty-four billion, six hundred thirty-five million, eight hundred ninety thousand, eighty".