133057080 has 240 divisors, whose sum is σ = 486260280. Its totient is φ = 32752512.

The previous prime is 133057021. The next prime is 133057091. The reversal of 133057080 is 80750331.

133057080 is a `hidden beast` number, since 13 + 3 + 0 + 570 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10235154 + ... + 10235166.

Almost surely, 2^133057080 is an apocalyptic number.

133057080 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 133057080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243130140).

133057080 is an abundant number, since it is smaller than the sum of its proper divisors (353203200).

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

133057080 is an frugal number, since it uses more digits than its factorization.

133057080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 133057080 is about 11535.0370610588. The cubic root of 133057080 is about 510.5198850831.

The spelling of 133057080 in words is "one hundred thirty-three million, fifty-seven thousand, eighty".