132401420054505 has 128 divisors (see below), whose sum is σ = 269460288921600. Its totient is φ = 60424191551232.

The previous prime is 132401420054503. The next prime is 132401420054531. The reversal of 132401420054505 is 505450024104231.

132401420054505 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 0 + 142 + 0 + 0 + 5 + 4 + 505 = 666.

It is not a de Polignac number, because 132401420054505 - 2¹ = 132401420054503 is a prime.

It is a super-3 number, since 3×132401420054505³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132401420054505.

It is not an unprimeable number, because it can be changed into a prime (132401420054503) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5269276252 + ... + 5269301378.

It is an arithmetic number, because the mean of its divisors is an integer number (2105158507200).

Almost surely, 2^{132401420054505} is an apocalyptic number.

132401420054505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132401420054505 is an abundant number, since it is smaller than the sum of its proper divisors (137058868867095).

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

132401420054505 is a wasteful number, since it uses less digits than its factorization.

132401420054505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34340 (or 34334 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 132401420054505 its reverse (505450024104231), we get a palindrome (637851444158736).

The spelling of 132401420054505 in words is "one hundred thirty-two trillion, four hundred one billion, four hundred twenty million, fifty-four thousand, five hundred five".