133580640 has 192 divisors, whose sum is σ = 450455040. Its totient is φ = 33177600.

The previous prime is 133580639. The next prime is 133580651. The reversal of 133580640 is 46085331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 133580598 and 133580607.

It is a congruent number.

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, 884565 + ... + 884715.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^133580640 is an apocalyptic number.

133580640 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 133580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

133580640 is an abundant number, since it is smaller than the sum of its proper divisors (316874400).

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

133580640 is a wasteful number, since it uses less digits than its factorization.

133580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 133580640 is about 11557.7091155644. The cubic root of 133580640 is about 511.1886155659.

The spelling of 133580640 in words is "one hundred thirty-three million, five hundred eighty thousand, six hundred forty".