132116725200 has 240 divisors, whose sum is σ = 434086252416. Its totient is φ = 34334976000.

The previous prime is 132116725193. The next prime is 132116725229. The reversal of 132116725200 is 2527611231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9596722 + ... + 9610478.

Almost surely, 2^132116725200 is an apocalyptic number.

132116725200 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 132116725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217043126208).

132116725200 is an abundant number, since it is smaller than the sum of its proper divisors (301969527216).

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

132116725200 is a wasteful number, since it uses less digits than its factorization.

132116725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13982 (or 13971 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 132116725200 in words is "one hundred thirty-two billion, one hundred sixteen million, seven hundred twenty-five thousand, two hundred".