138180 has 72 divisors (see below), whose sum is σ = 459648. Its totient is φ = 30912.

The previous prime is 138179. The next prime is 138181. The reversal of 138180 is 81831.

138180 = T₆₉ + T₇₀ + ... + T₁₀₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138179) and next prime (138181).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (138181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2917 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2¹³⁸¹⁸⁰ is an apocalyptic number.

138180 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 138180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

138180 is an abundant number, since it is smaller than the sum of its proper divisors (321468).

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

138180 is a wasteful number, since it uses less digits than its factorization.

138180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 138180 is about 371.7257053258. The cubic root of 138180 is about 51.6989508022.

The spelling of 138180 in words is "one hundred thirty-eight thousand, one hundred eighty".