133214382 has 80 divisors (see below), whose sum is σ = 345692160. Its totient is φ = 37554192.

The previous prime is 133214359. The next prime is 133214383. The reversal of 133214382 is 283412331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133214383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88843 + ... + 90329.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2^133214382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133214382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

133214382 is an abundant number, since it is smaller than the sum of its proper divisors (212477778).

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

133214382 is a wasteful number, since it uses less digits than its factorization.

133214382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1578 counting only the distinct ones).

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

The square root of 133214382 is about 11541.8534906660. The cubic root of 133214382 is about 510.7209871803.

The spelling of 133214382 in words is "one hundred thirty-three million, two hundred fourteen thousand, three hundred eighty-two".