138519920 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 42577920.

The previous prime is 138519919. The next prime is 138519923. The reversal of 138519920 is 29915831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138519923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695981 + ... + 696179.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^138519920 is an apocalyptic number.

138519920 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 138519920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

138519920 is an abundant number, since it is smaller than the sum of its proper divisors (268596880).

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

138519920 is a wasteful number, since it uses less digits than its factorization.

138519920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 138519920 is about 11769.4485852142. The cubic root of 138519920 is about 517.4130887831.

The spelling of 138519920 in words is "one hundred thirty-eight million, five hundred nineteen thousand, nine hundred twenty".