133329240 has 384 divisors, whose sum is σ = 518918400. Its totient is φ = 30481920.

The previous prime is 133329239. The next prime is 133329281. The reversal of 133329240 is 42923331.

It is a happy number.

133329240 is a `hidden beast` number, since 1 + 333 + 292 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3100659 + ... + 3100701.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^133329240 is an apocalyptic number.

133329240 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 133329240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259459200).

133329240 is an abundant number, since it is smaller than the sum of its proper divisors (385589160).

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

133329240 is a wasteful number, since it uses less digits than its factorization.

133329240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133329240 is about 11546.8281358995. The cubic root of 133329240 is about 510.8677269423.

The spelling of 133329240 in words is "one hundred thirty-three million, three hundred twenty-nine thousand, two hundred forty".