133347984 has 160 divisors (see below), whose sum is σ = 434734080. Its totient is φ = 34214400.

The previous prime is 133347959. The next prime is 133348009. The reversal of 133347984 is 489743331.

It is an interprime number because it is at equal distance from previous prime (133347959) and next prime (133348009).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402699 + ... + 403029.

It is an arithmetic number, because the mean of its divisors is an integer number (2717088).

Almost surely, 2^133347984 is an apocalyptic number.

133347984 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 133347984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217367040).

133347984 is an abundant number, since it is smaller than the sum of its proper divisors (301386096).

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

133347984 is a wasteful number, since it uses less digits than its factorization.

133347984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 133347984 is about 11547.6397588425. The cubic root of 133347984 is about 510.8916658172.

The spelling of 133347984 in words is "one hundred thirty-three million, three hundred forty-seven thousand, nine hundred eighty-four".