132355765807104 has 576 divisors, whose sum is σ = 432275243400000. Its totient is φ = 35809151680512.

The previous prime is 132355765807079. The next prime is 132355765807121. The reversal of 132355765807104 is 401708567553231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17440471342 + ... + 17440478930.

It is an arithmetic number, because the mean of its divisors is an integer number (750477853125).

Almost surely, 2^{132355765807104} is an apocalyptic number.

132355765807104 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 132355765807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216137621700000).

132355765807104 is an abundant number, since it is smaller than the sum of its proper divisors (299919477592896).

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

132355765807104 is a wasteful number, since it uses less digits than its factorization.

132355765807104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 132355765807104 in words is "one hundred thirty-two trillion, three hundred fifty-five billion, seven hundred sixty-five million, eight hundred seven thousand, one hundred four".