132773289600 has 384 divisors, whose sum is σ = 504973929600. Its totient is φ = 30033838080.

The previous prime is 132773289581. The next prime is 132773289611. The reversal of 132773289600 is 6982377231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×132773289600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132773289600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6508216 + ... + 6528584.

It is an arithmetic number, because the mean of its divisors is an integer number (1315036275).

Almost surely, 2^132773289600 is an apocalyptic number.

132773289600 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 132773289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252486964800).

132773289600 is an abundant number, since it is smaller than the sum of its proper divisors (372200640000).

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

132773289600 is a wasteful number, since it uses less digits than its factorization.

132773289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20500 (or 20483 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 132773289600 in words is "one hundred thirty-two billion, seven hundred seventy-three million, two hundred eighty-nine thousand, six hundred".