133477632 has 180 divisors, whose sum is σ = 410310516. Its totient is φ = 43130880.

The previous prime is 133477573. The next prime is 133477639. The reversal of 133477632 is 236774331.

133477632 is a `hidden beast` number, since 13 + 3 + 4 + 7 + 7 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 113550336 = 4464^2 + 10656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133477639) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 850098 + ... + 850254.

Almost surely, 2^133477632 is an apocalyptic number.

133477632 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 133477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205155258).

133477632 is an abundant number, since it is smaller than the sum of its proper divisors (276832884).

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

133477632 is an equidigital number, since it uses as much as digits as its factorization.

133477632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 133477632 is about 11553.2520097157. The cubic root of 133477632 is about 511.0571842005.

Adding to 133477632 its product of digits (63504), we get a square (133541136 = 11556²).

The spelling of 133477632 in words is "one hundred thirty-three million, four hundred seventy-seven thousand, six hundred thirty-two".