133396128 has 36 divisors (see below), whose sum is σ = 379346058. Its totient is φ = 44465280.

The previous prime is 133396117. The next prime is 133396181. The reversal of 133396128 is 821693331.

133396128 is a `hidden beast` number, since 1 + 3 + 3 + 39 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98962704 + 34433424 = 9948^2 + 5868^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 133396092 and 133396101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 231303 + ... + 231878.

Almost surely, 2^133396128 is an apocalyptic number.

133396128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133396128 is an abundant number, since it is smaller than the sum of its proper divisors (245949930).

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

133396128 is a wasteful number, since it uses less digits than its factorization.

133396128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463197 (or 463186 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133396128 is about 11549.7241525501. The cubic root of 133396128 is about 510.9531425842.

It can be divided in two parts, 1333 and 96128, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 133396128 in words is "one hundred thirty-three million, three hundred ninety-six thousand, one hundred twenty-eight".