138599680 has 144 divisors (see below), whose sum is σ = 360561600. Its totient is φ = 50872320.

The previous prime is 138599627. The next prime is 138599683. The reversal of 138599680 is 86995831.

It is a super-2 number, since 2×138599680² = 38419742592204800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138599683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997051 + ... + 997189.

It is an arithmetic number, because the mean of its divisors is an integer number (2503900).

Almost surely, 2^138599680 is an apocalyptic number.

138599680 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 138599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180280800).

138599680 is an abundant number, since it is smaller than the sum of its proper divisors (221961920).

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

138599680 is a wasteful number, since it uses less digits than its factorization.

138599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The square root of 138599680 is about 11772.8365316095. The cubic root of 138599680 is about 517.5123788337.

The spelling of 138599680 in words is "one hundred thirty-eight million, five hundred ninety-nine thousand, six hundred eighty".