132096004560 has 720 divisors, whose sum is σ = 502779788784. Its totient is φ = 30891442176.

The previous prime is 132096004549. The next prime is 132096004577. The reversal of 132096004560 is 65400690231.

It is a happy number.

132096004560 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 9 + 600 + 45 + 6 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 69657989184 + 62438015376 = 263928^2 + 249876^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 763560634 + ... + 763560806.

Almost surely, 2^132096004560 is an apocalyptic number.

132096004560 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 132096004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251389894392).

132096004560 is an abundant number, since it is smaller than the sum of its proper divisors (370683784224).

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

132096004560 is a wasteful number, since it uses less digits than its factorization.

132096004560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 132096004560 its reverse (65400690231), we get a palindrome (197496694791).

The spelling of 132096004560 in words is "one hundred thirty-two billion, ninety-six million, four thousand, five hundred sixty".