132164760 has 384 divisors, whose sum is σ = 527040000. Its totient is φ = 26417664.

The previous prime is 132164743. The next prime is 132164807. The reversal of 132164760 is 67461231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6956031 + ... + 6956049.

It is an arithmetic number, because the mean of its divisors is an integer number (1372500).

Almost surely, 2^132164760 is an apocalyptic number.

132164760 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 132164760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263520000).

132164760 is an abundant number, since it is smaller than the sum of its proper divisors (394875240).

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

132164760 is a wasteful number, since it uses less digits than its factorization.

132164760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 132164760 is about 11496.2933156735. The cubic root of 132164760 is about 509.3760921100.

The spelling of 132164760 in words is "one hundred thirty-two million, one hundred sixty-four thousand, seven hundred sixty".