133839936 has 84 divisors (see below), whose sum is σ = 385363212. Its totient is φ = 44411904.

The previous prime is 133839889. The next prime is 133839943. The reversal of 133839936 is 639938331.

It can be written as a sum of positive squares in 2 ways, for example, as 72999936 + 60840000 = 8544^2 + 7800^2 .

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 = 133839891 and 133839900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182226 + ... + 182958.

Almost surely, 2^133839936 is an apocalyptic number.

133839936 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 133839936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192681606).

133839936 is an abundant number, since it is smaller than the sum of its proper divisors (251523276).

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

133839936 is a wasteful number, since it uses less digits than its factorization.

133839936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

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

The square root of 133839936 is about 11568.9211251525. The cubic root of 133839936 is about 511.5191611974.

The spelling of 133839936 in words is "one hundred thirty-three million, eight hundred thirty-nine thousand, nine hundred thirty-six".