139680 has 72 divisors (see below), whose sum is σ = 481572. Its totient is φ = 36864.

The previous prime is 139663. The next prime is 139681. The reversal of 139680 is 86931.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 1296 = 372^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (139681) by changing a digit.

139680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1392 + ... + 1488.

2¹³⁹⁶⁸⁰ is an apocalyptic number.

139680 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 139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240786).

139680 is an abundant number, since it is smaller than the sum of its proper divisors (341892).

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

139680 is a wasteful number, since it uses less digits than its factorization.

139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 139680 is about 373.7378760575. The cubic root of 139680 is about 51.8853489780.

Subtracting from 139680 its product of nonzero digits (1296), we obtain a square (138384 = 372²).

The spelling of 139680 in words is "one hundred thirty-nine thousand, six hundred eighty".