133679844 has 81 divisors (see below), whose sum is σ = 353881801. Its totient is φ = 42548160.

The previous prime is 133679831. The next prime is 133679873. The reversal of 133679844 is 448976331.

The square root of 133679844 is 11562.

It is a perfect power (a square), and thus also a powerful number.

133679844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6441444 + 127238400 = 2538^2 + 11280^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133679844.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2844229 + ... + 2844275.

Almost surely, 2^133679844 is an apocalyptic number.

133679844 is the 11562-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133679844

133679844 is an abundant number, since it is smaller than the sum of its proper divisors (220201957).

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

133679844 is a wasteful number, since it uses less digits than its factorization.

133679844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The cubic root of 133679844 is about 511.3151294250.

The spelling of 133679844 in words is "one hundred thirty-three million, six hundred seventy-nine thousand, eight hundred forty-four".