133380480 has 128 divisors (see below), whose sum is σ = 429281280. Its totient is φ = 35223552.

The previous prime is 133380439. The next prime is 133380491. The reversal of 133380480 is 84083331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

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, 243567 + ... + 244113.

It is an arithmetic number, because the mean of its divisors is an integer number (3353760).

Almost surely, 2^133380480 is an apocalyptic number.

133380480 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 133380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214640640).

133380480 is an abundant number, since it is smaller than the sum of its proper divisors (295900800).

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

133380480 is a wasteful number, since it uses less digits than its factorization.

133380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 133380480 is about 11549.0467139067. The cubic root of 133380480 is about 510.9331627254.

The spelling of 133380480 in words is "one hundred thirty-three million, three hundred eighty thousand, four hundred eighty".