138721140 has 192 divisors, whose sum is σ = 455051520. Its totient is φ = 35043840.

The previous prime is 138721127. The next prime is 138721151. The reversal of 138721140 is 41127831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1058875 + ... + 1059005.

It is an arithmetic number, because the mean of its divisors is an integer number (2370060).

Almost surely, 2^138721140 is an apocalyptic number.

138721140 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 138721140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

138721140 is an abundant number, since it is smaller than the sum of its proper divisors (316330380).

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

138721140 is a wasteful number, since it uses less digits than its factorization.

138721140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 138721140 is about 11777.9938869062. The cubic root of 138721140 is about 517.6635064100.

Adding to 138721140 its reverse (41127831), we get a palindrome (179848971).

The spelling of 138721140 in words is "one hundred thirty-eight million, seven hundred twenty-one thousand, one hundred forty".