132244876800 has 1440 divisors, whose sum is σ = 541068431904. Its totient is φ = 31850496000.

The previous prime is 132244876733. The next prime is 132244876823. The reversal of 132244876800 is 8678442231.

It is a happy number.

132244876800 is a `hidden beast` number, since 132 + 2 + 448 + 76 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2167948770 + ... + 2167948830.

Almost surely, 2^132244876800 is an apocalyptic number.

132244876800 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 132244876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270534215952).

132244876800 is an abundant number, since it is smaller than the sum of its proper divisors (408823555104).

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

132244876800 is an equidigital number, since it uses as much as digits as its factorization.

132244876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 132244876800 in words is "one hundred thirty-two billion, two hundred forty-four million, eight hundred seventy-six thousand, eight hundred".