133023240 has 144 divisors (see below), whose sum is σ = 502975980. Its totient is φ = 30401280.

The previous prime is 133023239. The next prime is 133023259. The reversal of 133023240 is 42320331.

It can be written as a sum of positive squares in 2 ways, for example, as 122014116 + 11009124 = 11046^2 + 3318^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13870 + ... + 21410.

Almost surely, 2^133023240 is an apocalyptic number.

133023240 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 133023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251487990).

133023240 is an abundant number, since it is smaller than the sum of its proper divisors (369952740).

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

133023240 is a wasteful number, since it uses less digits than its factorization.

133023240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133023240 is about 11533.5701324438. The cubic root of 133023240 is about 510.4766017601.

Adding to 133023240 its reverse (42320331), we get a palindrome (175343571).

The spelling of 133023240 in words is "one hundred thirty-three million, twenty-three thousand, two hundred forty".