133263340 has 144 divisors (see below), whose sum is σ = 363696480. Its totient is φ = 40642560.

The previous prime is 133263329. The next prime is 133263341. The reversal of 133263340 is 43362331.

133263340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133263341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316330 + ... + 316750.

It is an arithmetic number, because the mean of its divisors is an integer number (2525670).

Almost surely, 2^133263340 is an apocalyptic number.

133263340 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 133263340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181848240).

133263340 is an abundant number, since it is smaller than the sum of its proper divisors (230433140).

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

133263340 is a wasteful number, since it uses less digits than its factorization.

133263340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 133263340 is about 11543.9741856953. The cubic root of 133263340 is about 510.7835450294.

The spelling of 133263340 in words is "one hundred thirty-three million, two hundred sixty-three thousand, three hundred forty".