133686828 has 96 divisors (see below), whose sum is σ = 387045120. Its totient is φ = 39553920.

The previous prime is 133686799. The next prime is 133686851. The reversal of 133686828 is 828686331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49776 + ... + 52392.

It is an arithmetic number, because the mean of its divisors is an integer number (4031720).

Almost surely, 2^133686828 is an apocalyptic number.

133686828 is a gapful number since it is divisible by the number (18) 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 133686828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193522560).

133686828 is an abundant number, since it is smaller than the sum of its proper divisors (253358292).

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

133686828 is a wasteful number, since it uses less digits than its factorization.

133686828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2676 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 133686828 is about 11562.3020199267. The cubic root of 133686828 is about 511.3240336910.

The spelling of 133686828 in words is "one hundred thirty-three million, six hundred eighty-six thousand, eight hundred twenty-eight".