132217304400 has 300 divisors, whose sum is σ = 478154913984. Its totient is φ = 34987680000.

The previous prime is 132217304377. The next prime is 132217304407. The reversal of 132217304400 is 4403712231.

It is a happy number.

132217304400 is a `hidden beast` number, since 1 + 3 + 2 + 217 + 3 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132217304407) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 4228825 + ... + 4259975.

Almost surely, 2^132217304400 is an apocalyptic number.

132217304400 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 132217304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239077456992).

132217304400 is an abundant number, since it is smaller than the sum of its proper divisors (345937609584).

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

132217304400 is a wasteful number, since it uses less digits than its factorization.

132217304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31312 (or 31292 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 132217304400 in words is "one hundred thirty-two billion, two hundred seventeen million, three hundred four thousand, four hundred".