132656135301312 has 224 divisors, whose sum is σ = 402724934553600. Its totient is φ = 37750870671360.

The previous prime is 132656135301257. The next prime is 132656135301323. The reversal of 132656135301312 is 213103531656231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905942728 + ... + 906089144.

Almost surely, 2^{132656135301312} is an apocalyptic number.

132656135301312 is a gapful number since it is divisible by the number (12) 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 132656135301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201362467276800).

132656135301312 is an abundant number, since it is smaller than the sum of its proper divisors (270068799252288).

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

132656135301312 is a wasteful number, since it uses less digits than its factorization.

132656135301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149119 (or 149109 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

Adding to 132656135301312 its reverse (213103531656231), we get a palindrome (345759666957543).

The spelling of 132656135301312 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred thirty-five million, three hundred one thousand, three hundred twelve".