132215892480 has 1080 divisors, whose sum is σ = 570870054612. Its totient is φ = 28100395008.

The previous prime is 132215892461. The next prime is 132215892481. The reversal of 132215892480 is 84298512231.

132215892480 is a `hidden beast` number, since 1 + 3 + 2 + 21 + 589 + 2 + 48 + 0 = 666.

132215892480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131438151936 + 777740544 = 362544^2 + 27888^2 .

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 (132215892481) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1592962519 + ... + 1592962601.

Almost surely, 2^132215892480 is an apocalyptic number.

132215892480 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 132215892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285435027306).

132215892480 is an abundant number, since it is smaller than the sum of its proper divisors (438654162132).

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

132215892480 is an equidigital number, since it uses as much as digits as its factorization.

132215892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 132215892480 in words is "one hundred thirty-two billion, two hundred fifteen million, eight hundred ninety-two thousand, four hundred eighty".