133030080 has 224 divisors, whose sum is σ = 477316800. Its totient is φ = 34873344.

The previous prime is 133030063. The next prime is 133030097. The reversal of 133030080 is 80030331.

It is an interprime number because it is at equal distance from previous prime (133030063) and next prime (133030097).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 768874 + ... + 769046.

Almost surely, 2^133030080 is an apocalyptic number.

133030080 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 133030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238658400).

133030080 is an abundant number, since it is smaller than the sum of its proper divisors (344286720).

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

133030080 is a wasteful number, since it uses less digits than its factorization.

133030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133030080 is about 11533.8666543358. The cubic root of 133030080 is about 510.4853511087.

The spelling of 133030080 in words is "one hundred thirty-three million, thirty thousand, eighty".