133282944 has 96 divisors (see below), whose sum is σ = 386979840. Its totient is φ = 44029440.

The previous prime is 133282913. The next prime is 133282951. The reversal of 133282944 is 449282331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×133282944² = 35528686322614272, which contains 22 as substring.

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 = 133282899 and 133282908.

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, 145849 + ... + 146759.

It is an arithmetic number, because the mean of its divisors is an integer number (4031040).

Almost surely, 2^133282944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193489920).

133282944 is an abundant number, since it is smaller than the sum of its proper divisors (253696896).

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

133282944 is a wasteful number, since it uses less digits than its factorization.

133282944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 133282944 is about 11544.8232554682. The cubic root of 133282944 is about 510.8085904511.

The spelling of 133282944 in words is "one hundred thirty-three million, two hundred eighty-two thousand, nine hundred forty-four".