138684960 has 336 divisors, whose sum is σ = 520574040. Its totient is φ = 34836480.

The previous prime is 138684937. The next prime is 138684961. The reversal of 138684960 is 69486831.

It can be written as a sum of positive squares in 4 ways, for example, as 76527504 + 62157456 = 8748^2 + 7884^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138684961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3382540 + ... + 3382580.

Almost surely, 2^138684960 is an apocalyptic number.

138684960 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 138684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260287020).

138684960 is an abundant number, since it is smaller than the sum of its proper divisors (381889080).

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

138684960 is an equidigital number, since it uses as much as digits as its factorization.

138684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 138684960 is about 11776.4578715334. The cubic root of 138684960 is about 517.6184983837.

The spelling of 138684960 in words is "one hundred thirty-eight million, six hundred eighty-four thousand, nine hundred sixty".