138933936 has 120 divisors (see below), whose sum is σ = 401117184. Its totient is φ = 44876160.

The previous prime is 138933929. The next prime is 138933959. The reversal of 138933936 is 639339831.

138933936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 138933891 and 138933900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093905 + ... + 1094031.

Almost surely, 2^138933936 is an apocalyptic number.

138933936 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 138933936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200558592).

138933936 is an abundant number, since it is smaller than the sum of its proper divisors (262183248).

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

138933936 is a wasteful number, since it uses less digits than its factorization.

138933936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 138933936 is about 11787.0240518971. The cubic root of 138933936 is about 517.9280670128.

The spelling of 138933936 in words is "one hundred thirty-eight million, nine hundred thirty-three thousand, nine hundred thirty-six".