133607268 has 18 divisors (see below), whose sum is σ = 337729574. Its totient is φ = 44535744.

The previous prime is 133607251. The next prime is 133607273. The reversal of 133607268 is 862706331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 128187684 + 5419584 = 11322^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3711313 = 133607268 / (1 + 3 + 3 + 6 + 0 + 7 + 2 + 6 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1855621 + ... + 1855692.

Almost surely, 2^133607268 is an apocalyptic number.

133607268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133607268 is an abundant number, since it is smaller than the sum of its proper divisors (204122306).

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

133607268 is a wasteful number, since it uses less digits than its factorization.

133607268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711323 (or 3711318 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133607268 is about 11558.8610165535. The cubic root of 133607268 is about 511.2225801336. Note that the first 3 decimals are identical.

The spelling of 133607268 in words is "one hundred thirty-three million, six hundred seven thousand, two hundred sixty-eight".