138007940 has 48 divisors (see below), whose sum is σ = 336185472. Its totient is φ = 46607616.

The previous prime is 138007847. The next prime is 138007999. The reversal of 138007940 is 49700831.

138007940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138007897 and 138007906.

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, 2024 + ... + 16736.

It is an arithmetic number, because the mean of its divisors is an integer number (7003864).

Almost surely, 2^138007940 is an apocalyptic number.

138007940 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 138007940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168092736).

138007940 is an abundant number, since it is smaller than the sum of its proper divisors (198177532).

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

138007940 is a wasteful number, since it uses less digits than its factorization.

138007940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796 (or 14794 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 138007940 is about 11747.6780684525. The cubic root of 138007940 is about 516.7748359485.

The spelling of 138007940 in words is "one hundred thirty-eight million, seven thousand, nine hundred forty".