133130880 has 192 divisors, whose sum is σ = 476166600. Its totient is φ = 34234368.

The previous prime is 133130869. The next prime is 133130911. The reversal of 133130880 is 88031331.

It can be written as a sum of positive squares in 4 ways, for example, as 106998336 + 26132544 = 10344^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166642 + ... + 167438.

Almost surely, 2^133130880 is an apocalyptic number.

133130880 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 133130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238083300).

133130880 is an abundant number, since it is smaller than the sum of its proper divisors (343035720).

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

133130880 is a wasteful number, since it uses less digits than its factorization.

133130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 133130880 is about 11538.2355670180. The cubic root of 133130880 is about 510.6142541161.

The spelling of 133130880 in words is "one hundred thirty-three million, one hundred thirty thousand, eight hundred eighty".