133000032 has 192 divisors, whose sum is σ = 407151360. Its totient is φ = 37632000.

The previous prime is 133000009. The next prime is 133000033. The reversal of 133000032 is 230000331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132999981 and 133000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133000033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316782 + ... + 1316882.

It is an arithmetic number, because the mean of its divisors is an integer number (2120580).

Almost surely, 2^133000032 is an apocalyptic number.

133000032 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 133000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

133000032 is an abundant number, since it is smaller than the sum of its proper divisors (274151328).

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

133000032 is a wasteful number, since it uses less digits than its factorization.

133000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133000032 is about 11532.5639820467. The cubic root of 133000032 is about 510.4469131382.

Adding to 133000032 its reverse (230000331), we get a palindrome (363000363).

It can be divided in two parts, 1 and 33000032, that added together give a palindrome (33000033).

The spelling of 133000032 in words is "one hundred thirty-three million, thirty-two", and thus it is an aban number.