133878672 has 90 divisors (see below), whose sum is σ = 398134178. Its totient is φ = 41988096.

The previous prime is 133878659. The next prime is 133878683. The reversal of 133878672 is 276878331.

It can be written as a sum of positive squares in 3 ways, for example, as 84934656 + 48944016 = 9216^2 + 6996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40008 + ... + 43224.

Almost surely, 2^133878672 is an apocalyptic number.

133878672 is a gapful number since it is divisible by the number (12) 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 133878672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199067089).

133878672 is an abundant number, since it is smaller than the sum of its proper divisors (264255506).

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

133878672 is a wasteful number, since it uses less digits than its factorization.

133878672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3239 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 133878672 is about 11570.5951445896. The cubic root of 133878672 is about 511.5685044542.

The spelling of 133878672 in words is "one hundred thirty-three million, eight hundred seventy-eight thousand, six hundred seventy-two".