133874676 has 72 divisors (see below), whose sum is σ = 373378824. Its totient is φ = 40181760.

The previous prime is 133874669. The next prime is 133874681. The reversal of 133874676 is 676478331.

133874676 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 4 ways, for example, as 7986276 + 125888400 = 2826^2 + 11220^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15700 + ... + 22676.

It is an arithmetic number, because the mean of its divisors is an integer number (5185817).

Almost surely, 2^133874676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133874676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186689412).

133874676 is an abundant number, since it is smaller than the sum of its proper divisors (239504148).

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

133874676 is a wasteful number, since it uses less digits than its factorization.

133874676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7036 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 133874676 is about 11570.4224641972. The cubic root of 133874676 is about 511.5634146515.

The spelling of 133874676 in words is "one hundred thirty-three million, eight hundred seventy-four thousand, six hundred seventy-six".