133268814 has 160 divisors (see below), whose sum is σ = 374685696. Its totient is φ = 34525440.

The previous prime is 133268809. The next prime is 133268879. The reversal of 133268814 is 418862331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 597507 + ... + 597729.

Almost surely, 2^133268814 is an apocalyptic number.

133268814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133268814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187342848).

133268814 is an abundant number, since it is smaller than the sum of its proper divisors (241416882).

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

133268814 is a wasteful number, since it uses less digits than its factorization.

133268814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 133268814 is about 11544.2112766529. The cubic root of 133268814 is about 510.7905386778.

The spelling of 133268814 in words is "one hundred thirty-three million, two hundred sixty-eight thousand, eight hundred fourteen".