138189072 has 80 divisors (see below), whose sum is σ = 421179392. Its totient is φ = 38206080.

The previous prime is 138189061. The next prime is 138189097. The reversal of 138189072 is 270981831.

It is a self number, because there is not a number n which added to its sum of digits gives 138189072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3783 + ... + 17049.

Almost surely, 2^138189072 is an apocalyptic number.

138189072 is a gapful number since it is divisible by the number (12) 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 138189072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210589696).

138189072 is an abundant number, since it is smaller than the sum of its proper divisors (282990320).

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

138189072 is a wasteful number, since it uses less digits than its factorization.

138189072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316 (or 13310 counting only the distinct ones).

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

The square root of 138189072 is about 11755.3848086739. The cubic root of 138189072 is about 517.0008218307. Note that the first 3 decimals are identical.

The spelling of 138189072 in words is "one hundred thirty-eight million, one hundred eighty-nine thousand, seventy-two".