133253304240 has 160 divisors (see below), whose sum is σ = 472219061760. Its totient is φ = 30450051072.

The previous prime is 133253304157. The next prime is 133253304287. The reversal of 133253304240 is 42403352331.

It is a super-3 number, since 3×133253304240³ (a number of 34 digits) contains 333 as substring.

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 = 133253304198 and 133253304207.

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, 8743507 + ... + 8758733.

It is an arithmetic number, because the mean of its divisors is an integer number (2951369136).

Almost surely, 2^133253304240 is an apocalyptic number.

133253304240 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 133253304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236109530880).

133253304240 is an abundant number, since it is smaller than the sum of its proper divisors (338965757520).

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

133253304240 is a wasteful number, since it uses less digits than its factorization.

133253304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20459 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 133253304240 its reverse (42403352331), we get a palindrome (175656656571).

The spelling of 133253304240 in words is "one hundred thirty-three billion, two hundred fifty-three million, three hundred four thousand, two hundred forty".