133009632 has 144 divisors (see below), whose sum is σ = 457827552. Its totient is φ = 35758080.

The previous prime is 133009619. The next prime is 133009651. The reversal of 133009632 is 236900331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 133009596 and 133009605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32332 + ... + 36212.

It is an arithmetic number, because the mean of its divisors is an integer number (3179358).

Almost surely, 2^133009632 is an apocalyptic number.

133009632 is a gapful number since it is divisible by the number (12) 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 133009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228913776).

133009632 is an abundant number, since it is smaller than the sum of its proper divisors (324817920).

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

133009632 is a wasteful number, since it uses less digits than its factorization.

133009632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 133009632 is about 11532.9801872716. The cubic root of 133009632 is about 510.4591942693.

Adding to 133009632 its reverse (236900331), we get a palindrome (369909963).

The spelling of 133009632 in words is "one hundred thirty-three million, nine thousand, six hundred thirty-two".