138480 has 40 divisors (see below), whose sum is σ = 430032. Its totient is φ = 36864.

The previous prime is 138469. The next prime is 138493. The reversal of 138480 is 84831.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 138480.

It is a congruent number.

It is an unprimeable number.

138480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49 + ... + 528.

2¹³⁸⁴⁸⁰ is an apocalyptic number.

138480 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 138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215016).

138480 is an abundant number, since it is smaller than the sum of its proper divisors (291552).

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

138480 is a wasteful number, since it uses less digits than its factorization.

138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 138480 is about 372.1290098877. The cubic root of 138480 is about 51.7363379651.

The spelling of 138480 in words is "one hundred thirty-eight thousand, four hundred eighty".