132609792 has 144 divisors (see below), whose sum is σ = 427375872. Its totient is φ = 35635200.

The previous prime is 132609781. The next prime is 132609793. The reversal of 132609792 is 297906231.

132609792 = T₁₄₃₃ + T₁₄₃₄ + ... + T₁₅₅₁.

It is a self number, because there is not a number n which added to its sum of digits gives 132609792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132609793) 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, 90667 + ... + 92117.

It is an arithmetic number, because the mean of its divisors is an integer number (2967888).

Almost surely, 2^132609792 is an apocalyptic number.

132609792 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 132609792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213687936).

132609792 is an abundant number, since it is smaller than the sum of its proper divisors (294766080).

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

132609792 is a wasteful number, since it uses less digits than its factorization.

132609792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 132609792 is about 11515.6325054250. The cubic root of 132609792 is about 509.9471840730.

The spelling of 132609792 in words is "one hundred thirty-two million, six hundred nine thousand, seven hundred ninety-two".