133634368 has 84 divisors (see below), whose sum is σ = 315967872. Its totient is φ = 55883520.

The previous prime is 133634341. The next prime is 133634401. The reversal of 133634368 is 863436331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134353 + ... + 135343.

Almost surely, 2^133634368 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 133634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157983936).

133634368 is an abundant number, since it is smaller than the sum of its proper divisors (182333504).

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

133634368 is an equidigital number, since it uses as much as digits as its factorization.

133634368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1043 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The square root of 133634368 is about 11560.0332179454. The cubic root of 133634368 is about 511.2571421140.

It can be divided in two parts, 133 and 634368, that added together give a triangular number (634501 = T₁₁₂₆).

The spelling of 133634368 in words is "one hundred thirty-three million, six hundred thirty-four thousand, three hundred sixty-eight".