133121688 has 64 divisors (see below), whose sum is σ = 392632320. Its totient is φ = 36806400.

The previous prime is 133121623. The next prime is 133121701. The reversal of 133121688 is 886121331.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7573 + ... + 17988.

It is an arithmetic number, because the mean of its divisors is an integer number (6134880).

Almost surely, 2^133121688 is an apocalyptic number.

It is an amenable number.

133121688 is an abundant number, since it is smaller than the sum of its proper divisors (259510632).

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

133121688 is a wasteful number, since it uses less digits than its factorization.

133121688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25608 (or 25604 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 133121688 is about 11537.8372323413. The cubic root of 133121688 is about 510.6025020862.

The spelling of 133121688 in words is "one hundred thirty-three million, one hundred twenty-one thousand, six hundred eighty-eight".