133131432240 has 240 divisors, whose sum is σ = 473689101600. Its totient is φ = 33392959488.

The previous prime is 133131432233. The next prime is 133131432263. The reversal of 133131432240 is 42234131331.

It is a happy number.

133131432240 is a `hidden beast` number, since 1 + 331 + 3 + 1 + 4 + 322 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×133131432240² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35604291 + ... + 35608029.

It is an arithmetic number, because the mean of its divisors is an integer number (1973704590).

Almost surely, 2^133131432240 is an apocalyptic number.

133131432240 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 133131432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236844550800).

133131432240 is an abundant number, since it is smaller than the sum of its proper divisors (340557669360).

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

133131432240 is a wasteful number, since it uses less digits than its factorization.

133131432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 133131432240 its reverse (42234131331), we get a palindrome (175365563571).

The spelling of 133131432240 in words is "one hundred thirty-three billion, one hundred thirty-one million, four hundred thirty-two thousand, two hundred forty".