133876340 has 48 divisors (see below), whose sum is σ = 303763152. Its totient is φ = 49268736.

The previous prime is 133876339. The next prime is 133876349. The reversal of 133876340 is 43678331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4553956 + 129322384 = 2134^2 + 11372^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133876340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133876349) 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 15 ways as a sum of consecutive naturals, for example, 102572 + ... + 103868.

It is an arithmetic number, because the mean of its divisors is an integer number (6328399).

Almost surely, 2^133876340 is an apocalyptic number.

133876340 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 133876340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151881576).

133876340 is an abundant number, since it is smaller than the sum of its proper divisors (169886812).

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

133876340 is a wasteful number, since it uses less digits than its factorization.

133876340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 133876340 is about 11570.4943714605. The cubic root of 133876340 is about 511.5655341412.

The spelling of 133876340 in words is "one hundred thirty-three million, eight hundred seventy-six thousand, three hundred forty".