133212132 has 36 divisors (see below), whose sum is σ = 340073916. Its totient is φ = 43963200.

The previous prime is 133212127. The next prime is 133212133. The reversal of 133212132 is 231212331.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 38266596 = 9744^2 + 6186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×133212132² = 35490944223970848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133212133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14683 + ... + 21954.

Almost surely, 2^133212132 is an apocalyptic number.

133212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133212132 is an abundant number, since it is smaller than the sum of its proper divisors (206861784).

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

133212132 is a wasteful number, since it uses less digits than its factorization.

133212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36748 (or 36743 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 133212132 is about 11541.7560189080. The cubic root of 133212132 is about 510.7181117933.

Adding to 133212132 its reverse (231212331), we get a palindrome (364424463).

The spelling of 133212132 in words is "one hundred thirty-three million, two hundred twelve thousand, one hundred thirty-two".