132736071428800 has 1008 divisors, whose sum is σ = 391977103288320. Its totient is φ = 43324968960000.

The previous prime is 132736071428783. The next prime is 132736071428803. The reversal of 132736071428800 is 8824170637231.

It is a super-3 number, since 3×132736071428800³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132736071428803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145703700345 + ... + 145703701255.

Almost surely, 2^{132736071428800} is an apocalyptic number.

132736071428800 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 132736071428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195988551644160).

132736071428800 is an abundant number, since it is smaller than the sum of its proper divisors (259241031859520).

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

132736071428800 is a wasteful number, since it uses less digits than its factorization.

132736071428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 132736071428800 in words is "one hundred thirty-two trillion, seven hundred thirty-six billion, seventy-one million, four hundred twenty-eight thousand, eight hundred".