132301965734400 has 960 divisors, whose sum is σ = 557567610817536. Its totient is φ = 26851958784000.

The previous prime is 132301965734243. The next prime is 132301965734423. The reversal of 132301965734400 is 4437569103231.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132301965734400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126622110 + ... + 127662690.

Almost surely, 2^{132301965734400} is an apocalyptic number.

132301965734400 is a gapful number since it is divisible by the number (10) 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 132301965734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278783805408768).

132301965734400 is an abundant number, since it is smaller than the sum of its proper divisors (425265645083136).

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

132301965734400 is a wasteful number, since it uses less digits than its factorization.

132301965734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040673 (or 1040652 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 132301965734400 in words is "one hundred thirty-two trillion, three hundred one billion, nine hundred sixty-five million, seven hundred thirty-four thousand, four hundred".