138841089420 has 288 divisors, whose sum is σ = 442372589568. Its totient is φ = 32478336000.

The previous prime is 138841089407. The next prime is 138841089463. The reversal of 138841089420 is 24980148831.

It is a happy number.

It is a super-2 number, since 2×138841089420² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138841089420.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105102360 + ... + 105103680.

It is an arithmetic number, because the mean of its divisors is an integer number (1536015936).

Almost surely, 2^138841089420 is an apocalyptic number.

138841089420 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 138841089420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221186294784).

138841089420 is an abundant number, since it is smaller than the sum of its proper divisors (303531500148).

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

138841089420 is a wasteful number, since it uses less digits than its factorization.

138841089420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 138841089420 in words is "one hundred thirty-eight billion, eight hundred forty-one million, eighty-nine thousand, four hundred twenty".