133827876 has 288 divisors, whose sum is σ = 462309120. Its totient is φ = 32845824.

The previous prime is 133827857. The next prime is 133827943. The reversal of 133827876 is 678728331.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1503640 + ... + 1503728.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^133827876 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 133827876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

133827876 is an abundant number, since it is smaller than the sum of its proper divisors (328481244).

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

133827876 is a wasteful number, since it uses less digits than its factorization.

133827876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

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

The square root of 133827876 is about 11568.3998893538. The cubic root of 133827876 is about 511.5037968088.

The spelling of 133827876 in words is "one hundred thirty-three million, eight hundred twenty-seven thousand, eight hundred seventy-six".