132312960 has 512 divisors, whose sum is σ = 548352000. Its totient is φ = 29859840.

The previous prime is 132312959. The next prime is 132312967. The reversal of 132312960 is 69213231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132312967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4268145 + ... + 4268175.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 2^132312960 is an apocalyptic number.

132312960 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 132312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274176000).

132312960 is an abundant number, since it is smaller than the sum of its proper divisors (416039040).

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

132312960 is a wasteful number, since it uses less digits than its factorization.

132312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132312960 is about 11502.7370655857. The cubic root of 132312960 is about 509.5664134893.

The spelling of 132312960 in words is "one hundred thirty-two million, three hundred twelve thousand, nine hundred sixty".