138319840 has 48 divisors (see below), whose sum is σ = 327786480. Its totient is φ = 55157760.

The previous prime is 138319817. The next prime is 138319843. The reversal of 138319840 is 48913831.

138319840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138319840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138319843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59500 + ... + 61780.

It is an arithmetic number, because the mean of its divisors is an integer number (6828885).

Almost surely, 2^138319840 is an apocalyptic number.

138319840 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 138319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163893240).

138319840 is an abundant number, since it is smaller than the sum of its proper divisors (189466640).

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

138319840 is a wasteful number, since it uses less digits than its factorization.

138319840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 138319840 is about 11760.9455402191. The cubic root of 138319840 is about 517.1638493123.

The spelling of 138319840 in words is "one hundred thirty-eight million, three hundred nineteen thousand, eight hundred forty".