132133424040 has 640 divisors, whose sum is σ = 483432364800. Its totient is φ = 32280145920.

The previous prime is 132133424039. The next prime is 132133424173. The reversal of 132133424040 is 40424331231.

132133424040 is a `hidden beast` number, since 1 + 3 + 213 + 3 + 42 + 404 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132133423995 and 132133424013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 180263514 + ... + 180264246.

It is an arithmetic number, because the mean of its divisors is an integer number (755363070).

Almost surely, 2^132133424040 is an apocalyptic number.

132133424040 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 132133424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241716182400).

132133424040 is an abundant number, since it is smaller than the sum of its proper divisors (351298940760).

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

132133424040 is a wasteful number, since it uses less digits than its factorization.

132133424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132133424040 its reverse (40424331231), we get a palindrome (172557755271).

The spelling of 132133424040 in words is "one hundred thirty-two billion, one hundred thirty-three million, four hundred twenty-four thousand, forty".