133029432 has 64 divisors (see below), whose sum is σ = 381465600. Its totient is φ = 42910560.

The previous prime is 133029427. The next prime is 133029439. The reversal of 133029432 is 234920331.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 133029396 and 133029405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133029439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3238 + ... + 16629.

It is an arithmetic number, because the mean of its divisors is an integer number (5960400).

Almost surely, 2^133029432 is an apocalyptic number.

133029432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133029432 is an abundant number, since it is smaller than the sum of its proper divisors (248436168).

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

133029432 is a wasteful number, since it uses less digits than its factorization.

133029432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19913 (or 19903 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133029432 is about 11533.8385631151. The cubic root of 133029432 is about 510.4845222359.

Adding to 133029432 its reverse (234920331), we get a palindrome (367949763).

The spelling of 133029432 in words is "one hundred thirty-three million, twenty-nine thousand, four hundred thirty-two".