138380 has 48 divisors (see below), whose sum is σ = 344736. Its totient is φ = 46080.

The previous prime is 138373. The next prime is 138389. The reversal of 138380 is 83831.

138380 = T₆ + T₇ + ... + T₉₃.

138380 = 128² + 129² + ... + 135².

It is not an unprimeable number, because it can be changed into a prime (138389) 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 15 ways as a sum of consecutive naturals, for example, 3722 + ... + 3758.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2¹³⁸³⁸⁰ is an apocalyptic number.

138380 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 138380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368).

138380 is an abundant number, since it is smaller than the sum of its proper divisors (206356).

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

138380 is a wasteful number, since it uses less digits than its factorization.

138380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 138380 is about 371.9946236171. The cubic root of 138380 is about 51.7238815824.

The spelling of 138380 in words is "one hundred thirty-eight thousand, three hundred eighty".