133460352 has 192 divisors, whose sum is σ = 417404400. Its totient is φ = 41969664.

The previous prime is 133460323. The next prime is 133460399. The reversal of 133460352 is 253064331.

It is a happy number.

133460352 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 603 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1828188 + ... + 1828260.

Almost surely, 2^133460352 is an apocalyptic number.

133460352 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 133460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208702200).

133460352 is an abundant number, since it is smaller than the sum of its proper divisors (283944048).

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

133460352 is an equidigital number, since it uses as much as digits as its factorization.

133460352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133460352 is about 11552.5041441239. The cubic root of 133460352 is about 511.0351294459.

The spelling of 133460352 in words is "one hundred thirty-three million, four hundred sixty thousand, three hundred fifty-two".