132729062400 has 1485 divisors, whose sum is σ = 564731066053. Its totient is φ = 30777753600.

The previous prime is 132729062359. The next prime is 132729062447. The reversal of 132729062400 is 4260927231.

The square root of 132729062400 is 364320.

It is a perfect power (a square), and thus also a powerful number.

132729062400 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 29 + 0 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47782462464 + 84946599936 = 218592^2 + 291456^2 .

It is a tau number, because it is divible by the number of its divisors (1485).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5770828789 + ... + 5770828811.

Almost surely, 2^132729062400 is an apocalyptic number.

132729062400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132729062400 is the 364320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132729062400

132729062400 is an abundant number, since it is smaller than the sum of its proper divisors (432002003653).

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

132729062400 is a wasteful number, since it uses less digits than its factorization.

132729062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 132729062400 by its sum of digits (36), we get a square (4778246246400 = 2185920²).

132729062400 divided by its sum of digits (36) gives a square (3686918400 = 60720²).

Adding to 132729062400 its reverse (4260927231), we get a palindrome (136989989631).

The spelling of 132729062400 in words is "one hundred thirty-two billion, seven hundred twenty-nine million, sixty-two thousand, four hundred".