138417610752 has 280 divisors, whose sum is σ = 435322522800. Its totient is φ = 43706843136.

The previous prime is 138417610691. The next prime is 138417610753. The reversal of 138417610752 is 257016714831.

138417610752 is a `hidden beast` number, since 13 + 8 + 4 + 17 + 610 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138417610698 and 138417610707.

It is not an unprimeable number, because it can be changed into a prime (138417610753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12601999 + ... + 12612977.

Almost surely, 2^138417610752 is an apocalyptic number.

138417610752 is a gapful number since it is divisible by the number (12) 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 138417610752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217661261400).

138417610752 is an abundant number, since it is smaller than the sum of its proper divisors (296904912048).

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

138417610752 is an equidigital number, since it uses as much as digits as its factorization.

138417610752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 138417610752 in words is "one hundred thirty-eight billion, four hundred seventeen million, six hundred ten thousand, seven hundred fifty-two".