133464640 has 56 divisors (see below), whose sum is σ = 318805560. Its totient is φ = 53219328.

The previous prime is 133464629. The next prime is 133464673. The reversal of 133464640 is 46464331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25969216 + 107495424 = 5096^2 + 10368^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181714 + ... + 182446.

Almost surely, 2^133464640 is an apocalyptic number.

133464640 is a gapful number since it is divisible by the number (10) 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 133464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159402780).

133464640 is an abundant number, since it is smaller than the sum of its proper divisors (185340920).

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

133464640 is an equidigital number, since it uses as much as digits as its factorization.

133464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 133464640 is about 11552.6897301018. The cubic root of 133464640 is about 511.0406024700.

The spelling of 133464640 in words is "one hundred thirty-three million, four hundred sixty-four thousand, six hundred forty".