133457472 has 84 divisors (see below), whose sum is σ = 384616960. Its totient is φ = 44243712.

The previous prime is 133457417. The next prime is 133457479. The reversal of 133457472 is 274754331.

133457472 is a `hidden beast` number, since 13 + 3 + 4 + 574 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133457479) 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 11 ways as a sum of consecutive naturals, for example, 127929 + ... + 128967.

Almost surely, 2^133457472 is an apocalyptic number.

133457472 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 133457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192308480).

133457472 is an abundant number, since it is smaller than the sum of its proper divisors (251159488).

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

133457472 is a wasteful number, since it uses less digits than its factorization.

133457472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1267 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 133457472 is about 11552.3794951516. The cubic root of 133457472 is about 511.0314534684.

The spelling of 133457472 in words is "one hundred thirty-three million, four hundred fifty-seven thousand, four hundred seventy-two".