132635405121604 has 192 divisors, whose sum is σ = 309630935674368. Its totient is φ = 48125155737600.

The previous prime is 132635405121539. The next prime is 132635405121629. The reversal of 132635405121604 is 406121504536231.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2781700644 + ... + 2781748324.

It is an arithmetic number, because the mean of its divisors is an integer number (1612661123304).

Almost surely, 2^{132635405121604} is an apocalyptic number.

132635405121604 is a gapful number since it is divisible by the number (14) 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 132635405121604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154815467837184).

132635405121604 is an abundant number, since it is smaller than the sum of its proper divisors (176995530552764).

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

132635405121604 is a wasteful number, since it uses less digits than its factorization.

132635405121604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53294 (or 53292 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

Adding to 132635405121604 its reverse (406121504536231), we get a palindrome (538756909657835).

The spelling of 132635405121604 in words is "one hundred thirty-two trillion, six hundred thirty-five billion, four hundred five million, one hundred twenty-one thousand, six hundred four".