132735700272 has 320 divisors, whose sum is σ = 420105175040. Its totient is φ = 35271936000.

The previous prime is 132735700249. The next prime is 132735700303. The reversal of 132735700272 is 272007537231.

It is a happy number.

132735700272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132735700272² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132735700272.

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 63 ways as a sum of consecutive naturals, for example, 126294147 + ... + 126295197.

It is an arithmetic number, because the mean of its divisors is an integer number (1312828672).

Almost surely, 2^132735700272 is an apocalyptic number.

132735700272 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 132735700272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210052587520).

132735700272 is an abundant number, since it is smaller than the sum of its proper divisors (287369474768).

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

132735700272 is a wasteful number, since it uses less digits than its factorization.

132735700272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The spelling of 132735700272 in words is "one hundred thirty-two billion, seven hundred thirty-five million, seven hundred thousand, two hundred seventy-two".