133312284 has 96 divisors (see below), whose sum is σ = 415833600. Its totient is φ = 36080640.

The previous prime is 133312271. The next prime is 133312297. The reversal of 133312284 is 482213331.

It is an interprime number because it is at equal distance from previous prime (133312271) and next prime (133312297).

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

It is a congruent number.

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, 9724 + ... + 19004.

It is an arithmetic number, because the mean of its divisors is an integer number (4331600).

Almost surely, 2^133312284 is an apocalyptic number.

133312284 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 133312284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207916800).

133312284 is an abundant number, since it is smaller than the sum of its proper divisors (282521316).

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

133312284 is a wasteful number, since it uses less digits than its factorization.

133312284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9312 counting only the distinct ones).

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

The square root of 133312284 is about 11546.0938849465. The cubic root of 133312284 is about 510.8460696764.

The spelling of 133312284 in words is "one hundred thirty-three million, three hundred twelve thousand, two hundred eighty-four".