133363456 has 36 divisors (see below), whose sum is σ = 266999544. Its totient is φ = 66483200.

The previous prime is 133363441. The next prime is 133363459. The reversal of 133363456 is 654363331.

133363456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133363456² = 35571622792527872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133363459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125166 + ... + 126226.

It is an arithmetic number, because the mean of its divisors is an integer number (7416654).

Almost surely, 2^133363456 is an apocalyptic number.

133363456 is a gapful number since it is divisible by the number (16) 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 133363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133499772).

133363456 is an abundant number, since it is smaller than the sum of its proper divisors (133636088).

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

133363456 is an equidigital number, since it uses as much as digits as its factorization.

133363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1554 counting only the distinct ones).

The product of its digits is 58320, while the sum is 34.

The square root of 133363456 is about 11548.3096598593. The cubic root of 133363456 is about 510.9114241715.

The spelling of 133363456 in words is "one hundred thirty-three million, three hundred sixty-three thousand, four hundred fifty-six".