138103140 has 96 divisors (see below), whose sum is σ = 456228864. Its totient is φ = 30545280.

The previous prime is 138103117. The next prime is 138103157. The reversal of 138103140 is 41301831.

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

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, 7717 + ... + 18323.

It is an arithmetic number, because the mean of its divisors is an integer number (4752384).

Almost surely, 2^138103140 is an apocalyptic number.

138103140 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 138103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228114432).

138103140 is an abundant number, since it is smaller than the sum of its proper divisors (318125724).

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

138103140 is a wasteful number, since it uses less digits than its factorization.

138103140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 138103140 is about 11751.7292344574. The cubic root of 138103140 is about 516.8936350467.

Adding to 138103140 its reverse (41301831), we get a palindrome (179404971).

The spelling of 138103140 in words is "one hundred thirty-eight million, one hundred three thousand, one hundred forty".