139920 has 80 divisors (see below), whose sum is σ = 482112. Its totient is φ = 33280.

The previous prime is 139907. The next prime is 139921. The reversal of 139920 is 29931.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139920.

It is not an unprimeable number, because it can be changed into a prime (139921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2614 + ... + 2666.

2¹³⁹⁹²⁰ is an apocalyptic number.

139920 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 139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056).

139920 is an abundant number, since it is smaller than the sum of its proper divisors (342192).

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

139920 is a wasteful number, since it uses less digits than its factorization.

139920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 139920 is about 374.0588189042. The cubic root of 139920 is about 51.9150486691.

The spelling of 139920 in words is "one hundred thirty-nine thousand, nine hundred twenty".