138279180 has 96 divisors (see below), whose sum is σ = 419832000. Its totient is φ = 34005504.

The previous prime is 138279143. The next prime is 138279263. The reversal of 138279180 is 81972831.

138279180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138279180² = 38242263242944800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131296 + ... + 132344.

It is an arithmetic number, because the mean of its divisors is an integer number (4373250).

Almost surely, 2^138279180 is an apocalyptic number.

138279180 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 138279180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209916000).

138279180 is an abundant number, since it is smaller than the sum of its proper divisors (281552820).

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

138279180 is a wasteful number, since it uses less digits than its factorization.

138279180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 138279180 is about 11759.2168106554. The cubic root of 138279180 is about 517.1131698078.

The spelling of 138279180 in words is "one hundred thirty-eight million, two hundred seventy-nine thousand, one hundred eighty".