133784616240 has 240 divisors, whose sum is σ = 490857752736. Its totient is φ = 32385024000.

The previous prime is 133784616221. The next prime is 133784616307. The reversal of 133784616240 is 42616487331.

133784616240 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 8 + 4 + 616 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5539872 + ... + 5563968.

Almost surely, 2^133784616240 is an apocalyptic number.

133784616240 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 133784616240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245428876368).

133784616240 is an abundant number, since it is smaller than the sum of its proper divisors (357073136496).

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

133784616240 is a wasteful number, since it uses less digits than its factorization.

133784616240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24828 (or 24819 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 133784616240 in words is "one hundred thirty-three billion, seven hundred eighty-four million, six hundred sixteen thousand, two hundred forty".