133384487040 has 768 divisors, whose sum is σ = 558129312000. Its totient is φ = 28673409024.

The previous prime is 133384486967. The next prime is 133384487051. The reversal of 133384487040 is 40784483331.

133384487040 is a `hidden beast` number, since 133 + 3 + 8 + 448 + 70 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 120274006 + ... + 120275114.

It is an arithmetic number, because the mean of its divisors is an integer number (726730875).

Almost surely, 2^133384487040 is an apocalyptic number.

133384487040 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 133384487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279064656000).

133384487040 is an abundant number, since it is smaller than the sum of its proper divisors (424744824960).

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

133384487040 is a wasteful number, since it uses less digits than its factorization.

133384487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 133384487040 in words is "one hundred thirty-three billion, three hundred eighty-four million, four hundred eighty-seven thousand, forty".