133397568 has 84 divisors (see below), whose sum is σ = 386314188. Its totient is φ = 44006400.

The previous prime is 133397549. The next prime is 133397599. The reversal of 133397568 is 865793331.

It can be written as a sum of positive squares in 2 ways, for example, as 90782784 + 42614784 = 9528^2 + 6528^2 .

It is a super-2 number, since 2×133397568² = 35589822296629248, which contains 22 as substring.

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, 57030 + ... + 59322.

Almost surely, 2^133397568 is an apocalyptic number.

133397568 is a gapful number since it is divisible by the number (18) 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 133397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193157094).

133397568 is an abundant number, since it is smaller than the sum of its proper divisors (252916620).

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

133397568 is a wasteful number, since it uses less digits than its factorization.

133397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2399 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 133397568 is about 11549.7864915331. The cubic root of 133397568 is about 510.9549811431.

The spelling of 133397568 in words is "one hundred thirty-three million, three hundred ninety-seven thousand, five hundred sixty-eight".