138519936 has 128 divisors (see below), whose sum is σ = 413100000. Its totient is φ = 45692928.

The previous prime is 138519929. The next prime is 138519949. The reversal of 138519936 is 639915831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 138519891 and 138519900.

It is a congruent number.

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, 514810 + ... + 515078.

Almost surely, 2^138519936 is an apocalyptic number.

138519936 is a gapful number since it is divisible by the number (16) 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 138519936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206550000).

138519936 is an abundant number, since it is smaller than the sum of its proper divisors (274580064).

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

138519936 is a wasteful number, since it uses less digits than its factorization.

138519936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 138519936 is about 11769.4492649401. The cubic root of 138519936 is about 517.4131087047.

It can be divided in two parts, 1385 and 19936, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 138519936 in words is "one hundred thirty-eight million, five hundred nineteen thousand, nine hundred thirty-six".