132984320 has 160 divisors (see below), whose sum is σ = 375350976. Its totient is φ = 44236800.

The previous prime is 132984301. The next prime is 132984359. The reversal of 132984320 is 23489231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734630 + ... + 734810.

Almost surely, 2^132984320 is an apocalyptic number.

132984320 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 132984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

132984320 is an abundant number, since it is smaller than the sum of its proper divisors (242366656).

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

132984320 is an equidigital number, since it uses as much as digits as its factorization.

132984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 132984320 is about 11531.8827604169. The cubic root of 132984320 is about 510.4268117452.

The spelling of 132984320 in words is "one hundred thirty-two million, nine hundred eighty-four thousand, three hundred twenty".