133649640 has 48 divisors (see below), whose sum is σ = 434362500. Its totient is φ = 35639808.

The previous prime is 133649639. The next prime is 133649651. The reversal of 133649640 is 46946331.

133649640 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 4 + 9 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132572196 + 1077444 = 11514^2 + 1038^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 133649595 and 133649604.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 185265 + ... + 185984.

Almost surely, 2^133649640 is an apocalyptic number.

133649640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133649640 is an abundant number, since it is smaller than the sum of its proper divisors (300712860).

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

133649640 is a wasteful number, since it uses less digits than its factorization.

133649640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371266 (or 371259 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 133649640 is about 11560.6937508092. The cubic root of 133649640 is about 511.2766171981.

The spelling of 133649640 in words is "one hundred thirty-three million, six hundred forty-nine thousand, six hundred forty".