133784640 has 336 divisors, whose sum is σ = 519232896. Its totient is φ = 31334400.

The previous prime is 133784603. The next prime is 133784657. The reversal of 133784640 is 46487331.

133784640 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 8 + 4 + 640 = 666.

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 = 133784595 and 133784604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1298829 + ... + 1298931.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^133784640 is an apocalyptic number.

133784640 is a gapful number since it is divisible by the number (10) 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 133784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259616448).

133784640 is an abundant number, since it is smaller than the sum of its proper divisors (385448256).

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

133784640 is a wasteful number, since it uses less digits than its factorization.

133784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 133784640 is about 11566.5310270625. The cubic root of 133784640 is about 511.4487067412.

The spelling of 133784640 in words is "one hundred thirty-three million, seven hundred eighty-four thousand, six hundred forty".