132317280 has 192 divisors, whose sum is σ = 469022400. Its totient is φ = 34836480.

The previous prime is 132317231. The next prime is 132317281. The reversal of 132317280 is 82713231.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132317281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470740 + ... + 471020.

It is an arithmetic number, because the mean of its divisors is an integer number (2442825).

Almost surely, 2^132317280 is an apocalyptic number.

132317280 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 132317280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234511200).

132317280 is an abundant number, since it is smaller than the sum of its proper divisors (336705120).

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

132317280 is a wasteful number, since it uses less digits than its factorization.

132317280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 132317280 is about 11502.9248454469. The cubic root of 132317280 is about 509.5719591868.

The spelling of 132317280 in words is "one hundred thirty-two million, three hundred seventeen thousand, two hundred eighty".