133464672 has 240 divisors, whose sum is σ = 444939264. Its totient is φ = 38880000.

The previous prime is 133464629. The next prime is 133464673. The reversal of 133464672 is 276464331.

It is a happy number.

133464672 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 646 + 7 + 2 = 666.

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 (133464673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883797 + ... + 883947.

Almost surely, 2^133464672 is an apocalyptic number.

133464672 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 133464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222469632).

133464672 is an abundant number, since it is smaller than the sum of its proper divisors (311474592).

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

133464672 is a wasteful number, since it uses less digits than its factorization.

133464672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 133464672 is about 11552.6911150606. The cubic root of 133464672 is about 511.0406433130.

The spelling of 133464672 in words is "one hundred thirty-three million, four hundred sixty-four thousand, six hundred seventy-two".