133280000 has 270 divisors, whose sum is σ = 409467366. Its totient is φ = 43008000.

The previous prime is 133279981. The next prime is 133280029. The reversal of 133280000 is 82331.

It can be written as a sum of positive squares in 5 ways, for example, as 33918976 + 99361024 = 5824^2 + 9968^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7839992 + ... + 7840008.

Almost surely, 2^133280000 is an apocalyptic number.

133280000 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 133280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204733683).

133280000 is an abundant number, since it is smaller than the sum of its proper divisors (276187366).

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

133280000 is an frugal number, since it uses more digits than its factorization.

133280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 133280000 is about 11544.6957517294. The cubic root of 133280000 is about 510.8048294508.

Multiplying 133280000 by its sum of digits (17), we get a square (2265760000 = 47600²).

133280000 divided by its sum of digits (17) gives a square (7840000 = 2800²).

The spelling of 133280000 in words is "one hundred thirty-three million, two hundred eighty thousand".