138529680 has 80 divisors (see below), whose sum is σ = 438614784. Its totient is φ = 36152320.

The previous prime is 138529679. The next prime is 138529697. The reversal of 138529680 is 86925831.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5140 + ... + 17420.

Almost surely, 2^138529680 is an apocalyptic number.

138529680 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 138529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219307392).

138529680 is an abundant number, since it is smaller than the sum of its proper divisors (300085104).

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

138529680 is a wasteful number, since it uses less digits than its factorization.

138529680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12344 (or 12338 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 138529680 is about 11769.8632107599. The cubic root of 138529680 is about 517.4252406650.

It can be divided in two parts, 13852 and 9680, that added together give a palindrome (23532).

The spelling of 138529680 in words is "one hundred thirty-eight million, five hundred twenty-nine thousand, six hundred eighty".