138036456529920 has 1568 divisors, whose sum is σ = 552181682755584. Its totient is φ = 32879267020800.

The previous prime is 138036456529801. The next prime is 138036456529957. The reversal of 138036456529920 is 29925654630831.

It is a happy number.

138036456529920 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 3 + 64 + 565 + 2 + 9 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12033509785 + ... + 12033521255.

Almost surely, 2^{138036456529920} is an apocalyptic number.

138036456529920 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 138036456529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276090841377792).

138036456529920 is an abundant number, since it is smaller than the sum of its proper divisors (414145226225664).

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

138036456529920 is an equidigital number, since it uses as much as digits as its factorization.

138036456529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11564 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 138036456529920 in words is "one hundred thirty-eight trillion, thirty-six billion, four hundred fifty-six million, five hundred twenty-nine thousand, nine hundred twenty".