132271776 has 288 divisors, whose sum is σ = 476985600. Its totient is φ = 34546176.

The previous prime is 132271759. The next prime is 132271801. The reversal of 132271776 is 677172231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132271776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1284141 + ... + 1284243.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 2^132271776 is an apocalyptic number.

132271776 is a gapful number since it is divisible by the number (16) 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 132271776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238492800).

132271776 is an abundant number, since it is smaller than the sum of its proper divisors (344713824).

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

132271776 is a wasteful number, since it uses less digits than its factorization.

132271776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 132271776 is about 11500.9467436381. The cubic root of 132271776 is about 509.5135384448.

132271776 divided by its product of digits (24696) gives a triangular number (5356 = T₁₀₃).

The spelling of 132271776 in words is "one hundred thirty-two million, two hundred seventy-one thousand, seven hundred seventy-six".