132827040 has 240 divisors, whose sum is σ = 483176232. Its totient is φ = 34338816.

The previous prime is 132827027. The next prime is 132827083. The reversal of 132827040 is 40728231.

It can be written as a sum of positive squares in 4 ways, for example, as 111260304 + 21566736 = 10548^2 + 4644^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 132826995 and 132827013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479382 + ... + 479658.

Almost surely, 2^132827040 is an apocalyptic number.

132827040 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 132827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241588116).

132827040 is an abundant number, since it is smaller than the sum of its proper divisors (350349192).

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

132827040 is a wasteful number, since it uses less digits than its factorization.

132827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 132827040 is about 11525.0613881228. The cubic root of 132827040 is about 510.2255058101.

The spelling of 132827040 in words is "one hundred thirty-two million, eight hundred twenty-seven thousand, forty".