133633152 has 80 divisors (see below), whose sum is σ = 397720950. Its totient is φ = 44540928.

The previous prime is 133633139. The next prime is 133633169. The reversal of 133633152 is 251336331.

It is a happy number.

133633152 is a `hidden beast` number, since 13 + 3 + 633 + 15 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 27625536 = 10296^2 + 5256^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3924 + ... + 16812.

Almost surely, 2^133633152 is an apocalyptic number.

133633152 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 133633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198860475).

133633152 is an abundant number, since it is smaller than the sum of its proper divisors (264087798).

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

133633152 is an equidigital number, since it uses as much as digits as its factorization.

133633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12915 (or 12894 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 133633152 is about 11559.9806228211. The cubic root of 133633152 is about 511.2555913888.

Adding to 133633152 its reverse (251336331), we get a palindrome (384969483).

The spelling of 133633152 in words is "one hundred thirty-three million, six hundred thirty-three thousand, one hundred fifty-two".