132848640 has 264 divisors, whose sum is σ = 487841040. Its totient is φ = 34283520.

The previous prime is 132848587. The next prime is 132848641. The reversal of 132848640 is 46848231.

132848640 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 8 + 640 = 666.

It is a super-2 number, since 2×132848640² = 35297522299699200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132848595 and 132848604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132848641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4285425 + ... + 4285455.

Almost surely, 2^132848640 is an apocalyptic number.

132848640 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 132848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243920520).

132848640 is an abundant number, since it is smaller than the sum of its proper divisors (354992400).

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

132848640 is an equidigital number, since it uses as much as digits as its factorization.

132848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 132848640 is about 11525.9984383133. The cubic root of 132848640 is about 510.2531615083.

Adding to 132848640 its sum of digits (36), we get a square (132848676 = 11526²).

The spelling of 132848640 in words is "one hundred thirty-two million, eight hundred forty-eight thousand, six hundred forty".