133037632 has 112 divisors (see below), whose sum is σ = 331817472. Its totient is φ = 51517440.

The previous prime is 133037621. The next prime is 133037651. The reversal of 133037632 is 236730331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 133037632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308457 + ... + 308887.

It is an arithmetic number, because the mean of its divisors is an integer number (2962656).

Almost surely, 2^133037632 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 133037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165908736).

133037632 is an abundant number, since it is smaller than the sum of its proper divisors (198779840).

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

133037632 is a wasteful number, since it uses less digits than its factorization.

133037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 28.

The square root of 133037632 is about 11534.1940333948. The cubic root of 133037632 is about 510.4950108599.

Adding to 133037632 its reverse (236730331), we get a palindrome (369767963).

The spelling of 133037632 in words is "one hundred thirty-three million, thirty-seven thousand, six hundred thirty-two".