132852960 has 336 divisors, whose sum is σ = 505700496. Its totient is φ = 32845824.

The previous prime is 132852953. The next prime is 132852961. The reversal of 132852960 is 69258231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132852961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982847 + ... + 1982913.

It is an arithmetic number, because the mean of its divisors is an integer number (1505061).

Almost surely, 2^132852960 is an apocalyptic number.

132852960 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 132852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252850248).

132852960 is an abundant number, since it is smaller than the sum of its proper divisors (372847536).

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

132852960 is an equidigital number, since it uses as much as digits as its factorization.

132852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132852960 is about 11526.1858392098. The cubic root of 132852960 is about 510.2586922882.

The spelling of 132852960 in words is "one hundred thirty-two million, eight hundred fifty-two thousand, nine hundred sixty".