132655940352 has 576 divisors, whose sum is σ = 437124280320. Its totient is φ = 39426048000.

The previous prime is 132655940327. The next prime is 132655940383. The reversal of 132655940352 is 253049556231.

132655940352 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 594 + 0 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 132655940298 and 132655940307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426546277 + ... + 426546587.

It is an arithmetic number, because the mean of its divisors is an integer number (758896320).

Almost surely, 2^132655940352 is an apocalyptic number.

132655940352 is a gapful number since it is divisible by the number (12) 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 132655940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218562140160).

132655940352 is an abundant number, since it is smaller than the sum of its proper divisors (304468339968).

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

132655940352 is a wasteful number, since it uses less digits than its factorization.

132655940352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 132655940352 in words is "one hundred thirty-two billion, six hundred fifty-five million, nine hundred forty thousand, three hundred fifty-two".