132733440 has 240 divisors, whose sum is σ = 526002048. Its totient is φ = 30302208.

The previous prime is 132733397. The next prime is 132733451. The reversal of 132733440 is 44337231.

132733440 is a `hidden beast` number, since 1 + 327 + 334 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 11521²-1.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160869 + ... + 161691.

Almost surely, 2^132733440 is an apocalyptic number.

132733440 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 132733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263001024).

132733440 is an abundant number, since it is smaller than the sum of its proper divisors (393268608).

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

132733440 is an equidigital number, since it uses as much as digits as its factorization.

132733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 132733440 is about 11520.9999566010. Note that the first 4 decimals coincide. The cubic root of 132733440 is about 510.1056297932.

The spelling of 132733440 in words is "one hundred thirty-two million, seven hundred thirty-three thousand, four hundred forty".