133977306 has 32 divisors (see below), whose sum is σ = 284247360. Its totient is φ = 41953536.

The previous prime is 133977281. The next prime is 133977313. The reversal of 133977306 is 603779331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79440 + ... + 81108.

It is an arithmetic number, because the mean of its divisors is an integer number (8882730).

Almost surely, 2^133977306 is an apocalyptic number.

133977306 is an abundant number, since it is smaller than the sum of its proper divisors (150270054).

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

133977306 is a wasteful number, since it uses less digits than its factorization.

133977306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478.

The product of its (nonzero) digits is 71442, while the sum is 39.

The square root of 133977306 is about 11574.8566297816. The cubic root of 133977306 is about 511.6941048969.

The spelling of 133977306 in words is "one hundred thirty-three million, nine hundred seventy-seven thousand, three hundred six".