133529472 has 160 divisors (see below), whose sum is σ = 406545480. Its totient is φ = 43670016.

The previous prime is 133529453. The next prime is 133529489. The reversal of 133529472 is 274925331.

133529472 is a `hidden beast` number, since 133 + 52 + 9 + 472 = 666.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 2519398 + ... + 2519450.

Almost surely, 2^133529472 is an apocalyptic number.

133529472 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 133529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203272740).

133529472 is an abundant number, since it is smaller than the sum of its proper divisors (273016008).

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

133529472 is an frugal number, since it uses more digits than its factorization.

133529472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 133529472 is about 11555.4953160823. The cubic root of 133529472 is about 511.1233370456.

The spelling of 133529472 in words is "one hundred thirty-three million, five hundred twenty-nine thousand, four hundred seventy-two".