132481272 has 128 divisors (see below), whose sum is σ = 437322240. Its totient is φ = 32378880.

The previous prime is 132481249. The next prime is 132481277. The reversal of 132481272 is 272184231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132481277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29308 + ... + 33524.

It is an arithmetic number, because the mean of its divisors is an integer number (3416580).

Almost surely, 2^132481272 is an apocalyptic number.

132481272 is a gapful number since it is divisible by the number (12) 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 132481272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218661120).

132481272 is an abundant number, since it is smaller than the sum of its proper divisors (304840968).

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

132481272 is a wasteful number, since it uses less digits than its factorization.

132481272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4257 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 132481272 is about 11510.0509121376. The cubic root of 132481272 is about 509.7823908228.

The spelling of 132481272 in words is "one hundred thirty-two million, four hundred eighty-one thousand, two hundred seventy-two".