133052640 has 144 divisors (see below), whose sum is σ = 487629072. Its totient is φ = 30406656.

The previous prime is 133052627. The next prime is 133052683. The reversal of 133052640 is 46250331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133052640.

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, 20692 + ... + 26348.

It is an arithmetic number, because the mean of its divisors is an integer number (3386313).

Almost surely, 2^133052640 is an apocalyptic number.

133052640 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 133052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243814536).

133052640 is an abundant number, since it is smaller than the sum of its proper divisors (354576432).

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

133052640 is a wasteful number, since it uses less digits than its factorization.

133052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 133052640 is about 11534.8446023343. The cubic root of 133052640 is about 510.5142064838.

The spelling of 133052640 in words is "one hundred thirty-three million, fifty-two thousand, six hundred forty".