133281648 has 120 divisors (see below), whose sum is σ = 391264640. Its totient is φ = 42301440.

The previous prime is 133281647. The next prime is 133281671. The reversal of 133281648 is 846182331.

133281648 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 8 + 1 + 648 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (133281641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325668 + ... + 326076.

Almost surely, 2^133281648 is an apocalyptic number.

133281648 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 133281648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195632320).

133281648 is an abundant number, since it is smaller than the sum of its proper divisors (257982992).

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

133281648 is a wasteful number, since it uses less digits than its factorization.

133281648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 518 counting only the distinct ones).

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

The square root of 133281648 is about 11544.7671262785. The cubic root of 133281648 is about 510.8069348002.

The spelling of 133281648 in words is "one hundred thirty-three million, two hundred eighty-one thousand, six hundred forty-eight".