132666912 has 288 divisors, whose sum is σ = 471744000. Its totient is φ = 35223552.

The previous prime is 132666893. The next prime is 132666917. The reversal of 132666912 is 219666231.

It is a happy number.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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.

Its product of digits (23328) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (132666917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1679289 + ... + 1679367.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^132666912 is an apocalyptic number.

132666912 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 132666912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

132666912 is an abundant number, since it is smaller than the sum of its proper divisors (339077088).

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

132666912 is a wasteful number, since it uses less digits than its factorization.

132666912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 132666912 is about 11518.1123453455. The cubic root of 132666912 is about 510.0203913415.

The spelling of 132666912 in words is "one hundred thirty-two million, six hundred sixty-six thousand, nine hundred twelve".