133506120 has 64 divisors (see below), whose sum is σ = 436933440. Its totient is φ = 32364800.

The previous prime is 133506071. The next prime is 133506137. The reversal of 133506120 is 21605331.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49251 + ... + 51890.

It is an arithmetic number, because the mean of its divisors is an integer number (6827085).

Almost surely, 2^133506120 is an apocalyptic number.

133506120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133506120 is an abundant number, since it is smaller than the sum of its proper divisors (303427320).

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

133506120 is a wasteful number, since it uses less digits than its factorization.

133506120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101166 (or 101162 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 133506120 is about 11554.4848435575. The cubic root of 133506120 is about 511.0935397586.

The spelling of 133506120 in words is "one hundred thirty-three million, five hundred six thousand, one hundred twenty".