132075360 has 288 divisors, whose sum is σ = 484323840. Its totient is φ = 33965568.

The previous prime is 132075353. The next prime is 132075371. The reversal of 132075360 is 63570231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671801 + ... + 1671879.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^132075360 is an apocalyptic number.

132075360 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 132075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

132075360 is an abundant number, since it is smaller than the sum of its proper divisors (352248480).

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

132075360 is an equidigital number, since it uses as much as digits as its factorization.

132075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 132075360 is about 11492.4044481562. The cubic root of 132075360 is about 509.2612140485.

The spelling of 132075360 in words is "one hundred thirty-two million, seventy-five thousand, three hundred sixty".