132917760 has 200 divisors, whose sum is σ = 476812116. Its totient is φ = 35389440.

The previous prime is 132917753. The next prime is 132917789. The reversal of 132917760 is 67719231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 129413376 + 3504384 = 11376^2 + 1872^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207040 + ... + 207680.

Almost surely, 2^132917760 is an apocalyptic number.

132917760 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 132917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238406058).

132917760 is an abundant number, since it is smaller than the sum of its proper divisors (343894356).

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

132917760 is an frugal number, since it uses more digits than its factorization.

132917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 132917760 is about 11528.9964871189. The cubic root of 132917760 is about 510.3416396029.

The spelling of 132917760 in words is "one hundred thirty-two million, nine hundred seventeen thousand, seven hundred sixty".