133040280 has 256 divisors, whose sum is σ = 456192000. Its totient is φ = 30868992.

The previous prime is 133040279. The next prime is 133040309. The reversal of 133040280 is 82040331.

It is a happy number.

It is a super-2 number, since 2×133040280² = 35399432204956800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2254891 + ... + 2254949.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^133040280 is an apocalyptic number.

133040280 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 133040280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096000).

133040280 is an abundant number, since it is smaller than the sum of its proper divisors (323151720).

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

133040280 is a wasteful number, since it uses less digits than its factorization.

133040280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 133040280 is about 11534.3088219451. The cubic root of 133040280 is about 510.4983978260.

The spelling of 133040280 in words is "one hundred thirty-three million, forty thousand, two hundred eighty".