133132214413440 has 768 divisors, whose sum is σ = 522757787610240. Its totient is φ = 30933467136000.

The previous prime is 133132214413427. The next prime is 133132214413459. The reversal of 133132214413440 is 44314412231331.

133132214413440 is a `hidden beast` number, since 1 + 3 + 3 + 13 + 221 + 4 + 413 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×133132214413440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133132214413395 and 133132214413404.

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 95 ways as a sum of consecutive naturals, for example, 156645640 + ... + 157493240.

Almost surely, 2^{133132214413440} is an apocalyptic number.

133132214413440 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 133132214413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261378893805120).

133132214413440 is an abundant number, since it is smaller than the sum of its proper divisors (389625573196800).

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

133132214413440 is a wasteful number, since it uses less digits than its factorization.

133132214413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847741 (or 847726 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 133132214413440 its reverse (44314412231331), we get a palindrome (177446626644771).

The spelling of 133132214413440 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, two hundred fourteen million, four hundred thirteen thousand, four hundred forty".