133337040 has 80 divisors (see below), whose sum is σ = 416598336. Its totient is φ = 35276800.

The previous prime is 133337027. The next prime is 133337047. The reversal of 133337040 is 40733331.

It is a tau number, because it is divible by the number of its divisors (80).

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 133337040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133337047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29320 + ... + 33560.

Almost surely, 2^133337040 is an apocalyptic number.

133337040 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 133337040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208299168).

133337040 is an abundant number, since it is smaller than the sum of its proper divisors (283261296).

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

133337040 is a wasteful number, since it uses less digits than its factorization.

133337040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 133337040 is about 11547.1658860519. The cubic root of 133337040 is about 510.8776889745.

The spelling of 133337040 in words is "one hundred thirty-three million, three hundred thirty-seven thousand, forty".