132353280 has 108 divisors (see below), whose sum is σ = 457968420. Its totient is φ = 35291136.

The previous prime is 132353267. The next prime is 132353311. The reversal of 132353280 is 82353231.

132353280 is a `hidden beast` number, since 1 + 32 + 353 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 94012416 = 6192^2 + 9696^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5776 + ... + 17264.

Almost surely, 2^132353280 is an apocalyptic number.

132353280 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 132353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228984210).

132353280 is an abundant number, since it is smaller than the sum of its proper divisors (325615140).

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

132353280 is a wasteful number, since it uses less digits than its factorization.

132353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11516 (or 11499 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 132353280 is about 11504.4895584289. The cubic root of 132353280 is about 509.6181686390.

The spelling of 132353280 in words is "one hundred thirty-two million, three hundred fifty-three thousand, two hundred eighty".