133648128 has 216 divisors, whose sum is σ = 420900480. Its totient is φ = 40642560.

The previous prime is 133648117. The next prime is 133648159. The reversal of 133648128 is 821846331.

133648128 is a `hidden beast` number, since 1 + 3 + 3 + 648 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 133648092 and 133648101.

It is a congruent number.

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, 1882333 + ... + 1882403.

Almost surely, 2^133648128 is an apocalyptic number.

133648128 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 133648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210450240).

133648128 is an abundant number, since it is smaller than the sum of its proper divisors (287252352).

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

133648128 is a wasteful number, since it uses less digits than its factorization.

133648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 133648128 is about 11560.6283566249. The cubic root of 133648128 is about 511.2746891391.

The spelling of 133648128 in words is "one hundred thirty-three million, six hundred forty-eight thousand, one hundred twenty-eight".