133104114 has 96 divisors (see below), whose sum is σ = 350353920. Its totient is φ = 37208160.

The previous prime is 133104109. The next prime is 133104121. The reversal of 133104114 is 411401331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84159 + ... + 85725.

It is an arithmetic number, because the mean of its divisors is an integer number (3649520).

Almost surely, 2^133104114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133104114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175176960).

133104114 is an abundant number, since it is smaller than the sum of its proper divisors (217249806).

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

133104114 is a wasteful number, since it uses less digits than its factorization.

133104114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 133104114 is about 11537.0756259981. The cubic root of 133104114 is about 510.5800321106.

Adding to 133104114 its reverse (411401331), we get a palindrome (544505445).

It can be divided in two parts, 13310 and 4114, that added together give a square (17424 = 132²).

The spelling of 133104114 in words is "one hundred thirty-three million, one hundred four thousand, one hundred fourteen".