132983600 has 60 divisors (see below), whose sum is σ = 320820240. Its totient is φ = 52972800.

The previous prime is 132983593. The next prime is 132983611. The reversal of 132983600 is 6389231.

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, 123866 + ... + 124934.

It is an arithmetic number, because the mean of its divisors is an integer number (5347004).

Almost surely, 2^132983600 is an apocalyptic number.

132983600 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 132983600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160410120).

132983600 is an abundant number, since it is smaller than the sum of its proper divisors (187836640).

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

132983600 is a wasteful number, since it uses less digits than its factorization.

132983600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 132983600 is about 11531.8515425755. The cubic root of 132983600 is about 510.4258905640.

The spelling of 132983600 in words is "one hundred thirty-two million, nine hundred eighty-three thousand, six hundred".