132506206560 has 1536 divisors, whose sum is σ = 600859607040. Its totient is φ = 26525491200.

The previous prime is 132506206559. The next prime is 132506206639. The reversal of 132506206560 is 65602605231.

It is a happy number.

132506206560 is a `hidden beast` number, since 1 + 3 + 25 + 0 + 620 + 6 + 5 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1011497695 + ... + 1011497825.

It is an arithmetic number, because the mean of its divisors is an integer number (391184640).

Almost surely, 2^132506206560 is an apocalyptic number.

132506206560 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 132506206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300429803520).

132506206560 is an abundant number, since it is smaller than the sum of its proper divisors (468353400480).

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

132506206560 is a wasteful number, since it uses less digits than its factorization.

132506206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 132506206560 in words is "one hundred thirty-two billion, five hundred six million, two hundred six thousand, five hundred sixty".