133104384 has 270 divisors, whose sum is σ = 465216444. Its totient is φ = 37739520.

The previous prime is 133104353. The next prime is 133104451. The reversal of 133104384 is 483401331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1015999 + ... + 1016129.

Almost surely, 2^133104384 is an apocalyptic number.

133104384 is a gapful number since it is divisible by the number (14) 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 133104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232608222).

133104384 is an abundant number, since it is smaller than the sum of its proper divisors (332112060).

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

133104384 is an equidigital number, since it uses as much as digits as its factorization.

133104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 133104384 is about 11537.0873273977. The cubic root of 133104384 is about 510.5803773453.

The spelling of 133104384 in words is "one hundred thirty-three million, one hundred four thousand, three hundred eighty-four".