133676928 has 288 divisors, whose sum is σ = 486748080. Its totient is φ = 34467840.

The previous prime is 133676909. The next prime is 133676941. The reversal of 133676928 is 829676331.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975676 + ... + 975812.

Almost surely, 2^133676928 is an apocalyptic number.

133676928 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 133676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243374040).

133676928 is an abundant number, since it is smaller than the sum of its proper divisors (353071152).

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

133676928 is a wasteful number, since it uses less digits than its factorization.

133676928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 133676928 is about 11561.8738965619. The cubic root of 133676928 is about 511.3114115727.

The spelling of 133676928 in words is "one hundred thirty-three million, six hundred seventy-six thousand, nine hundred twenty-eight".