132905871360 has 192 divisors, whose sum is σ = 472439822400. Its totient is φ = 35441491968.

The previous prime is 132905871337. The next prime is 132905871367. The reversal of 132905871360 is 63178509231.

132905871360 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 0 + 587 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132905871367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36127 + ... + 516833.

It is an arithmetic number, because the mean of its divisors is an integer number (2460624075).

Almost surely, 2^132905871360 is an apocalyptic number.

132905871360 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 132905871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236219911200).

132905871360 is an abundant number, since it is smaller than the sum of its proper divisors (339533951040).

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

132905871360 is an equidigital number, since it uses as much as digits as its factorization.

132905871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480743 (or 480717 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 132905871360 in words is "one hundred thirty-two billion, nine hundred five million, eight hundred seventy-one thousand, three hundred sixty".