132304303305120 has 96 divisors (see below), whose sum is σ = 438693216252480. Its totient is φ = 33424245043200.

The previous prime is 132304303305079. The next prime is 132304303305131. The reversal of 132304303305120 is 21503303403231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×132304303305120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 7253516281 + ... + 7253534520.

It is an arithmetic number, because the mean of its divisors is an integer number (4569721002630).

Almost surely, 2^{132304303305120} is an apocalyptic number.

132304303305120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132304303305120 is an abundant number, since it is smaller than the sum of its proper divisors (306388912947360).

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

132304303305120 is a wasteful number, since it uses less digits than its factorization.

132304303305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507050838 (or 14507050830 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 132304303305120 its reverse (21503303403231), we get a palindrome (153807606708351).

The spelling of 132304303305120 in words is "one hundred thirty-two trillion, three hundred four billion, three hundred three million, three hundred five thousand, one hundred twenty".