138357662720 has 176 divisors, whose sum is σ = 337450406400. Its totient is φ = 54424043520.

The previous prime is 138357662713. The next prime is 138357662747. The reversal of 138357662720 is 27266753831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96147761 + ... + 96149199.

Almost surely, 2^138357662720 is an apocalyptic number.

138357662720 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 138357662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168725203200).

138357662720 is an abundant number, since it is smaller than the sum of its proper divisors (199092743680).

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

138357662720 is a wasteful number, since it uses less digits than its factorization.

138357662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 138357662720 in words is "one hundred thirty-eight billion, three hundred fifty-seven million, six hundred sixty-two thousand, seven hundred twenty".