138331351620 has 576 divisors, whose sum is σ = 536278579200. Its totient is φ = 28030648320.

The previous prime is 138331351583. The next prime is 138331351633. The reversal of 138331351620 is 26153133831.

138331351620 is a `hidden beast` number, since 13 + 8 + 3 + 3 + 13 + 5 + 1 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113665252 + ... + 113666468.

It is an arithmetic number, because the mean of its divisors is an integer number (931039200).

Almost surely, 2^138331351620 is an apocalyptic number.

138331351620 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 138331351620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268139289600).

138331351620 is an abundant number, since it is smaller than the sum of its proper divisors (397947227580).

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

138331351620 is a wasteful number, since it uses less digits than its factorization.

138331351620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 138331351620 in words is "one hundred thirty-eight billion, three hundred thirty-one million, three hundred fifty-one thousand, six hundred twenty".