133193340 has 144 divisors (see below), whose sum is σ = 474382272. Its totient is φ = 29611008.

The previous prime is 133193339. The next prime is 133193341. The reversal of 133193340 is 43391331.

133193340 is a `hidden beast` number, since 1 + 3 + 319 + 3 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (133193339) and next prime (133193341).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133193341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45192 + ... + 48048.

Almost surely, 2^133193340 is an apocalyptic number.

133193340 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 133193340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237191136).

133193340 is an abundant number, since it is smaller than the sum of its proper divisors (341188932).

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

133193340 is a wasteful number, since it uses less digits than its factorization.

133193340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 133193340 is about 11540.9419026352. The cubic root of 133193340 is about 510.6940952969.

The spelling of 133193340 in words is "one hundred thirty-three million, one hundred ninety-three thousand, three hundred forty".