138181120 has 160 divisors (see below), whose sum is σ = 413652096. Its totient is φ = 43008000.

The previous prime is 138181073. The next prime is 138181177. The reversal of 138181120 is 21181831.

It is a tau number, because it is divible by the number of its divisors (160).

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, 196770 + ... + 197470.

Almost surely, 2^138181120 is an apocalyptic number.

138181120 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 138181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206826048).

138181120 is an abundant number, since it is smaller than the sum of its proper divisors (275470976).

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

138181120 is an equidigital number, since it uses as much as digits as its factorization.

138181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 138181120 is about 11755.0465758329. The cubic root of 138181120 is about 516.9909048155.

It can be divided in two parts, 1381811 and 20, that added together give a palindrome (1381831).

The spelling of 138181120 in words is "one hundred thirty-eight million, one hundred eighty-one thousand, one hundred twenty".