133142208 has 56 divisors (see below), whose sum is σ = 354195888. Its totient is φ = 44138496.

The previous prime is 133142171. The next prime is 133142213. The reversal of 133142208 is 802241331.

It is a super-2 number, since 2×133142208² = 35453695102230528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35260 + ... + 38852.

Almost surely, 2^133142208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177097944).

133142208 is an abundant number, since it is smaller than the sum of its proper divisors (221053680).

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

133142208 is a wasteful number, since it uses less digits than its factorization.

133142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3801 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 133142208 is about 11538.7264461898. The cubic root of 133142208 is about 510.6287362914.

Adding to 133142208 its reverse (802241331), we get a palindrome (935383539).

The spelling of 133142208 in words is "one hundred thirty-three million, one hundred forty-two thousand, two hundred eight".