33145632 has 144 divisors (see below), whose sum is σ = 105144480. Its totient is φ = 10153728.

The previous prime is 33145591. The next prime is 33145657. The reversal of 33145632 is 23654133.

It is a happy number.

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

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 = 33145596 and 33145605.

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, 145903 + ... + 146129.

It is an arithmetic number, because the mean of its divisors is an integer number (730170).

Almost surely, 2^33145632 is an apocalyptic number.

33145632 is a gapful number since it is divisible by the number (32) 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 33145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572240).

33145632 is an abundant number, since it is smaller than the sum of its proper divisors (71998848).

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

33145632 is a wasteful number, since it uses less digits than its factorization.

33145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 245 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 33145632 is about 5757.2243312207. The cubic root of 33145632 is about 321.2245786280.

Adding to 33145632 its reverse (23654133), we get a palindrome (56799765).

The spelling of 33145632 in words is "thirty-three million, one hundred forty-five thousand, six hundred thirty-two".