138516140 has 72 divisors (see below), whose sum is σ = 340254432. Its totient is φ = 47228160.

The previous prime is 138516121. The next prime is 138516149. The reversal of 138516140 is 41615831.

138516140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138516149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275129 + ... + 275631.

It is an arithmetic number, because the mean of its divisors is an integer number (4725756).

Almost surely, 2^138516140 is an apocalyptic number.

138516140 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 138516140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170127216).

138516140 is an abundant number, since it is smaller than the sum of its proper divisors (201738292).

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

138516140 is a wasteful number, since it uses less digits than its factorization.

138516140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 138516140 is about 11769.2879988553. The cubic root of 138516140 is about 517.4083822656.

It can be divided in two parts, 13851 and 6140, that added together give a palindrome (19991).

The spelling of 138516140 in words is "one hundred thirty-eight million, five hundred sixteen thousand, one hundred forty".