133127680 has 320 divisors, whose sum is σ = 424258560. Its totient is φ = 38928384.

The previous prime is 133127669. The next prime is 133127693. The reversal of 133127680 is 86721331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5788149 + ... + 5788171.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^133127680 is an apocalyptic number.

133127680 is a gapful number since it is divisible by the number (10) 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 133127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

133127680 is an abundant number, since it is smaller than the sum of its proper divisors (291130880).

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

133127680 is a wasteful number, since it uses less digits than its factorization.

133127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 133127680 is about 11538.0968968023. The cubic root of 133127680 is about 510.6101629574.

The spelling of 133127680 in words is "one hundred thirty-three million, one hundred twenty-seven thousand, six hundred eighty".