132256000 has 72 divisors (see below), whose sum is σ = 329545944. Its totient is φ = 52889600.

The previous prime is 132255989. The next prime is 132256009. The reversal of 132256000 is 652231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 131239936 = 1008^2 + 11456^2 .

It is not an unprimeable number, because it can be changed into a prime (132256009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29934 + ... + 34066.

It is an arithmetic number, because the mean of its divisors is an integer number (4577027).

Almost surely, 2^132256000 is an apocalyptic number.

132256000 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 132256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164772972).

132256000 is an abundant number, since it is smaller than the sum of its proper divisors (197289944).

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

132256000 is an frugal number, since it uses more digits than its factorization.

132256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 132256000 is about 11500.2608666065. The cubic root of 132256000 is about 509.4932811498.

The spelling of 132256000 in words is "one hundred thirty-two million, two hundred fifty-six thousand".