132769116 has 72 divisors (see below), whose sum is σ = 361473840. Its totient is φ = 40935936.

The previous prime is 132769097. The next prime is 132769127. The reversal of 132769116 is 611967231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34270 + ... + 37946.

It is an arithmetic number, because the mean of its divisors is an integer number (5020470).

Almost surely, 2^132769116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132769116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180736920).

132769116 is an abundant number, since it is smaller than the sum of its proper divisors (228704724).

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

132769116 is a wasteful number, since it uses less digits than its factorization.

132769116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3758 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 132769116 is about 11522.5481556815. The cubic root of 132769116 is about 510.1513276425.

The spelling of 132769116 in words is "one hundred thirty-two million, seven hundred sixty-nine thousand, one hundred sixteen".