132665760 has 144 divisors (see below), whose sum is σ = 456117480. Its totient is φ = 35112960.

The previous prime is 132665759. The next prime is 132665761. The reversal of 132665760 is 67566231.

It is an interprime number because it is at equal distance from previous prime (132665759) and next prime (132665761).

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 46621584 = 9276^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (132665761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260386 + ... + 260894.

Almost surely, 2^132665760 is an apocalyptic number.

132665760 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 132665760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228058740).

132665760 is an abundant number, since it is smaller than the sum of its proper divisors (323451720).

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

132665760 is a wasteful number, since it uses less digits than its factorization.

132665760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 132665760 is about 11518.0623370426. The cubic root of 132665760 is about 510.0189151001.

The spelling of 132665760 in words is "one hundred thirty-two million, six hundred sixty-five thousand, seven hundred sixty".