132248000 has 112 divisors (see below), whose sum is σ = 334109568. Its totient is φ = 51840000.

The previous prime is 132247993. The next prime is 132248003. The reversal of 132248000 is 842231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132248003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487865 + ... + 488135.

Almost surely, 2^132248000 is an apocalyptic number.

132248000 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 132248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167054784).

132248000 is an abundant number, since it is smaller than the sum of its proper divisors (201861568).

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

132248000 is an equidigital number, since it uses as much as digits as its factorization.

132248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 132248000 is about 11499.9130431495. The cubic root of 132248000 is about 509.4830080723.

The spelling of 132248000 in words is "one hundred thirty-two million, two hundred forty-eight thousand".